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Finding the Fourth Proportional to 229,124.82, 316,191.55 and 127,165.66

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Solution

The fourth proportional to 229,124.82, 316,191.55 and 127,165.66 is: 175,488.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,124.82 : 316,191.55 = 127,165.66 : x
  2. Step 2: Convert to fraction form
    229,124.82/316,191.55 = 127,165.66/x
  3. Step 3: Cross multiply
    229,124.82x = 316,191.55 × 127,165.66
  4. Step 4: Simplify right side
    229,124.82x = 40,208,707,142.17
  5. Step 5: Solve for x
    x = 40,208,707,142.17/229,124.82
  6. Step 6: Final answer
    x = 175,488.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.