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Finding the Fourth Proportional to 154,700.70, 232,051.25 and 42,381.90

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Solution

The fourth proportional to 154,700.70, 232,051.25 and 42,381.90 is: 63,572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,700.70 : 232,051.25 = 42,381.90 : x
  2. Step 2: Convert to fraction form
    154,700.70/232,051.25 = 42,381.90/x
  3. Step 3: Cross multiply
    154,700.70x = 232,051.25 × 42,381.90
  4. Step 4: Simplify right side
    154,700.70x = 9,834,772,660.47
  5. Step 5: Solve for x
    x = 9,834,772,660.47/154,700.70
  6. Step 6: Final answer
    x = 63,572.91

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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.