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Finding the Fourth Proportional to 85,830.20, 128,486.10 and 75,462.20

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Solution

The fourth proportional to 85,830.20, 128,486.10 and 75,462.20 is: 112,965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,830.20 : 128,486.10 = 75,462.20 : x
  2. Step 2: Convert to fraction form
    85,830.20/128,486.10 = 75,462.20/x
  3. Step 3: Cross multiply
    85,830.20x = 128,486.10 × 75,462.20
  4. Step 4: Simplify right side
    85,830.20x = 9,695,843,775.42
  5. Step 5: Solve for x
    x = 9,695,843,775.42/85,830.20
  6. Step 6: Final answer
    x = 112,965.41

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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.