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Finding the Fourth Proportional to 224,035.52, 309,154.61 and 133,398.14

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Solution

The fourth proportional to 224,035.52, 309,154.61 and 133,398.14 is: 184,080.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,035.52 : 309,154.61 = 133,398.14 : x
  2. Step 2: Convert to fraction form
    224,035.52/309,154.61 = 133,398.14/x
  3. Step 3: Cross multiply
    224,035.52x = 309,154.61 × 133,398.14
  4. Step 4: Simplify right side
    224,035.52x = 41,240,649,279.43
  5. Step 5: Solve for x
    x = 41,240,649,279.43/224,035.52
  6. Step 6: Final answer
    x = 184,080.85

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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.