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Finding the Fourth Proportional to 229,539.76, 316,758.47 and 127,562.58

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Solution

The fourth proportional to 229,539.76, 316,758.47 and 127,562.58 is: 176,032.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,539.76 : 316,758.47 = 127,562.58 : x
  2. Step 2: Convert to fraction form
    229,539.76/316,758.47 = 127,562.58/x
  3. Step 3: Cross multiply
    229,539.76x = 316,758.47 × 127,562.58
  4. Step 4: Simplify right side
    229,539.76x = 40,406,527,032.24
  5. Step 5: Solve for x
    x = 40,406,527,032.24/229,539.76
  6. Step 6: Final answer
    x = 176,032.80

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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.