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Finding the Fourth Proportional to 161,780.80, 242,498.40 and 61,902.40

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Solution

The fourth proportional to 161,780.80, 242,498.40 and 61,902.40 is: 92,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,780.80 : 242,498.40 = 61,902.40 : x
  2. Step 2: Convert to fraction form
    161,780.80/242,498.40 = 61,902.40/x
  3. Step 3: Cross multiply
    161,780.80x = 242,498.40 × 61,902.40
  4. Step 4: Simplify right side
    161,780.80x = 15,011,232,956.16
  5. Step 5: Solve for x
    x = 15,011,232,956.16/161,780.80
  6. Step 6: Final answer
    x = 92,787.48

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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.