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Finding the Fourth Proportional to 229,732.84, 317,046.18 and 132,956.20

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Solution

The fourth proportional to 229,732.84, 317,046.18 and 132,956.20 is: 183,488.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,732.84 : 317,046.18 = 132,956.20 : x
  2. Step 2: Convert to fraction form
    229,732.84/317,046.18 = 132,956.20/x
  3. Step 3: Cross multiply
    229,732.84x = 317,046.18 × 132,956.20
  4. Step 4: Simplify right side
    229,732.84x = 42,153,255,317.32
  5. Step 5: Solve for x
    x = 42,153,255,317.32/229,732.84
  6. Step 6: Final answer
    x = 183,488.16

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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.