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Finding the Fourth Proportional to 102,002.35, 152,657.92 and 102,002.35

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Solution

The fourth proportional to 102,002.35, 152,657.92 and 102,002.35 is: 152,657.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,002.35 : 152,657.92 = 102,002.35 : x
  2. Step 2: Convert to fraction form
    102,002.35/152,657.92 = 102,002.35/x
  3. Step 3: Cross multiply
    102,002.35x = 152,657.92 × 102,002.35
  4. Step 4: Simplify right side
    102,002.35x = 15,571,466,586.11
  5. Step 5: Solve for x
    x = 15,571,466,586.11/102,002.35
  6. Step 6: Final answer
    x = 152,657.92

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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.