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Finding the Fourth Proportional to 228,833.34, 315,938.24 and 147,198.10

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Solution

The fourth proportional to 228,833.34, 315,938.24 and 147,198.10 is: 203,228.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,833.34 : 315,938.24 = 147,198.10 : x
  2. Step 2: Convert to fraction form
    228,833.34/315,938.24 = 147,198.10/x
  3. Step 3: Cross multiply
    228,833.34x = 315,938.24 × 147,198.10
  4. Step 4: Simplify right side
    228,833.34x = 46,505,507,119.51
  5. Step 5: Solve for x
    x = 46,505,507,119.51/228,833.34
  6. Step 6: Final answer
    x = 203,228.72

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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.