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Finding the Fourth Proportional to 229,346.82, 316,509.12 and 127,372.74

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Solution

The fourth proportional to 229,346.82, 316,509.12 and 127,372.74 is: 175,780.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,346.82 : 316,509.12 = 127,372.74 : x
  2. Step 2: Convert to fraction form
    229,346.82/316,509.12 = 127,372.74/x
  3. Step 3: Cross multiply
    229,346.82x = 316,509.12 × 127,372.74
  4. Step 4: Simplify right side
    229,346.82x = 40,314,633,849.39
  5. Step 5: Solve for x
    x = 40,314,633,849.39/229,346.82
  6. Step 6: Final answer
    x = 175,780.22

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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.