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Finding the Fourth Proportional to 224,352.50, 309,628.32 and 123,750.50

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Solution

The fourth proportional to 224,352.50, 309,628.32 and 123,750.50 is: 170,787.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,352.50 : 309,628.32 = 123,750.50 : x
  2. Step 2: Convert to fraction form
    224,352.50/309,628.32 = 123,750.50/x
  3. Step 3: Cross multiply
    224,352.50x = 309,628.32 × 123,750.50
  4. Step 4: Simplify right side
    224,352.50x = 38,316,659,414.16
  5. Step 5: Solve for x
    x = 38,316,659,414.16/224,352.50
  6. Step 6: Final answer
    x = 170,787.75

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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.