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Finding the Fourth Proportional to 132,035.16, 198,064.44 and 37,266

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Solution

The fourth proportional to 132,035.16, 198,064.44 and 37,266 is: 55,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,035.16 : 198,064.44 = 37,266 : x
  2. Step 2: Convert to fraction form
    132,035.16/198,064.44 = 37,266/x
  3. Step 3: Cross multiply
    132,035.16x = 198,064.44 × 37,266
  4. Step 4: Simplify right side
    132,035.16x = 7,381,069,421.04
  5. Step 5: Solve for x
    x = 7,381,069,421.04/132,035.16
  6. Step 6: Final answer
    x = 55,902.30

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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.