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Finding the Fourth Proportional to 125,102.12, 187,654.40 and 31,607.84

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Solution

The fourth proportional to 125,102.12, 187,654.40 and 31,607.84 is: 47,412.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,102.12 : 187,654.40 = 31,607.84 : x
  2. Step 2: Convert to fraction form
    125,102.12/187,654.40 = 31,607.84/x
  3. Step 3: Cross multiply
    125,102.12x = 187,654.40 × 31,607.84
  4. Step 4: Simplify right side
    125,102.12x = 5,931,350,250.50
  5. Step 5: Solve for x
    x = 5,931,350,250.50/125,102.12
  6. Step 6: Final answer
    x = 47,412.07

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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.