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Finding the Fourth Proportional to 229,061.72, 316,094.47 and 127,086.10

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Solution

The fourth proportional to 229,061.72, 316,094.47 and 127,086.10 is: 175,372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,061.72 : 316,094.47 = 127,086.10 : x
  2. Step 2: Convert to fraction form
    229,061.72/316,094.47 = 127,086.10/x
  3. Step 3: Cross multiply
    229,061.72x = 316,094.47 × 127,086.10
  4. Step 4: Simplify right side
    229,061.72x = 40,171,212,315.92
  5. Step 5: Solve for x
    x = 40,171,212,315.92/229,061.72
  6. Step 6: Final answer
    x = 175,372.87

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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.