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Finding the Fourth Proportional to 228,687.84, 342,588.90 and 110,442.22

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Solution

The fourth proportional to 228,687.84, 342,588.90 and 110,442.22 is: 165,449.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,687.84 : 342,588.90 = 110,442.22 : x
  2. Step 2: Convert to fraction form
    228,687.84/342,588.90 = 110,442.22/x
  3. Step 3: Cross multiply
    228,687.84x = 342,588.90 × 110,442.22
  4. Step 4: Simplify right side
    228,687.84x = 37,836,278,663.36
  5. Step 5: Solve for x
    x = 37,836,278,663.36/228,687.84
  6. Step 6: Final answer
    x = 165,449.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.