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Finding the Fourth Proportional to 229,006.52, 316,066.80 and 127,064.78

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Solution

The fourth proportional to 229,006.52, 316,066.80 and 127,064.78 is: 175,370.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,006.52 : 316,066.80 = 127,064.78 : x
  2. Step 2: Convert to fraction form
    229,006.52/316,066.80 = 127,064.78/x
  3. Step 3: Cross multiply
    229,006.52x = 316,066.80 × 127,064.78
  4. Step 4: Simplify right side
    229,006.52x = 40,160,956,826.97
  5. Step 5: Solve for x
    x = 40,160,956,826.97/229,006.52
  6. Step 6: Final answer
    x = 175,370.37

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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.