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Finding the Fourth Proportional to 224,509.20, 309,875.88 and 129,071.34

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Solution

The fourth proportional to 224,509.20, 309,875.88 and 129,071.34 is: 178,149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,509.20 : 309,875.88 = 129,071.34 : x
  2. Step 2: Convert to fraction form
    224,509.20/309,875.88 = 129,071.34/x
  3. Step 3: Cross multiply
    224,509.20x = 309,875.88 × 129,071.34
  4. Step 4: Simplify right side
    224,509.20x = 39,996,095,065.28
  5. Step 5: Solve for x
    x = 39,996,095,065.28/224,509.20
  6. Step 6: Final answer
    x = 178,149.02

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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.