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Finding the Fourth Proportional to 162,864.13, 224,749.87 and 91,243.93

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Solution

The fourth proportional to 162,864.13, 224,749.87 and 91,243.93 is: 125,915.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,864.13 : 224,749.87 = 91,243.93 : x
  2. Step 2: Convert to fraction form
    162,864.13/224,749.87 = 91,243.93/x
  3. Step 3: Cross multiply
    162,864.13x = 224,749.87 × 91,243.93
  4. Step 4: Simplify right side
    162,864.13x = 20,507,061,405.79
  5. Step 5: Solve for x
    x = 20,507,061,405.79/162,864.13
  6. Step 6: Final answer
    x = 125,915.15

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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.