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Finding the Fourth Proportional to 229,098.83, 316,141.20 and 127,117.83

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Solution

The fourth proportional to 229,098.83, 316,141.20 and 127,117.83 is: 175,414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,098.83 : 316,141.20 = 127,117.83 : x
  2. Step 2: Convert to fraction form
    229,098.83/316,141.20 = 127,117.83/x
  3. Step 3: Cross multiply
    229,098.83x = 316,141.20 × 127,117.83
  4. Step 4: Simplify right side
    229,098.83x = 40,187,181,101.30
  5. Step 5: Solve for x
    x = 40,187,181,101.30/229,098.83
  6. Step 6: Final answer
    x = 175,414.17

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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.