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Finding the Fourth Proportional to 152,951.76, 229,301.28 and 67,501.76

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Solution

The fourth proportional to 152,951.76, 229,301.28 and 67,501.76 is: 101,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,951.76 : 229,301.28 = 67,501.76 : x
  2. Step 2: Convert to fraction form
    152,951.76/229,301.28 = 67,501.76/x
  3. Step 3: Cross multiply
    152,951.76x = 229,301.28 × 67,501.76
  4. Step 4: Simplify right side
    152,951.76x = 15,478,238,823.75
  5. Step 5: Solve for x
    x = 15,478,238,823.75/152,951.76
  6. Step 6: Final answer
    x = 101,196.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.