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Finding the Fourth Proportional to 125,152.32, 187,611.84 and 41,988

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Solution

The fourth proportional to 125,152.32, 187,611.84 and 41,988 is: 62,942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,152.32 : 187,611.84 = 41,988 : x
  2. Step 2: Convert to fraction form
    125,152.32/187,611.84 = 41,988/x
  3. Step 3: Cross multiply
    125,152.32x = 187,611.84 × 41,988
  4. Step 4: Simplify right side
    125,152.32x = 7,877,445,937.92
  5. Step 5: Solve for x
    x = 7,877,445,937.92/125,152.32
  6. Step 6: Final answer
    x = 62,942.87

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