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Finding the Fourth Proportional to 224,088.50, 309,242.13 and 123,486.50

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Solution

The fourth proportional to 224,088.50, 309,242.13 and 123,486.50 is: 170,411.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,088.50 : 309,242.13 = 123,486.50 : x
  2. Step 2: Convert to fraction form
    224,088.50/309,242.13 = 123,486.50/x
  3. Step 3: Cross multiply
    224,088.50x = 309,242.13 × 123,486.50
  4. Step 4: Simplify right side
    224,088.50x = 38,187,228,286.25
  5. Step 5: Solve for x
    x = 38,187,228,286.25/224,088.50
  6. Step 6: Final answer
    x = 170,411.37

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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.