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Finding the Fourth Proportional to 224,584.32, 309,918.24 and 123,980.16

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Solution

The fourth proportional to 224,584.32, 309,918.24 and 123,980.16 is: 171,088.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,584.32 : 309,918.24 = 123,980.16 : x
  2. Step 2: Convert to fraction form
    224,584.32/309,918.24 = 123,980.16/x
  3. Step 3: Cross multiply
    224,584.32x = 309,918.24 × 123,980.16
  4. Step 4: Simplify right side
    224,584.32x = 38,423,712,982.12
  5. Step 5: Solve for x
    x = 38,423,712,982.12/224,584.32
  6. Step 6: Final answer
    x = 171,088.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.