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Finding the Fourth Proportional to 228,858.42, 315,842.13 and 144,048.18

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Solution

The fourth proportional to 228,858.42, 315,842.13 and 144,048.18 is: 198,797.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,858.42 : 315,842.13 = 144,048.18 : x
  2. Step 2: Convert to fraction form
    228,858.42/315,842.13 = 144,048.18/x
  3. Step 3: Cross multiply
    228,858.42x = 315,842.13 × 144,048.18
  4. Step 4: Simplify right side
    228,858.42x = 45,496,483,993.82
  5. Step 5: Solve for x
    x = 45,496,483,993.82/228,858.42
  6. Step 6: Final answer
    x = 198,797.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.