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Finding the Fourth Proportional to 224,356.25, 309,633.50 and 123,754.25

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Solution

The fourth proportional to 224,356.25, 309,633.50 and 123,754.25 is: 170,792.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,356.25 : 309,633.50 = 123,754.25 : x
  2. Step 2: Convert to fraction form
    224,356.25/309,633.50 = 123,754.25/x
  3. Step 3: Cross multiply
    224,356.25x = 309,633.50 × 123,754.25
  4. Step 4: Simplify right side
    224,356.25x = 38,318,461,567.38
  5. Step 5: Solve for x
    x = 38,318,461,567.38/224,356.25
  6. Step 6: Final answer
    x = 170,792.93

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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.