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Finding the Fourth Proportional to 85,000.40, 127,464.15 and 42,864.20

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Solution

The fourth proportional to 85,000.40, 127,464.15 and 42,864.20 is: 64,277.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,000.40 : 127,464.15 = 42,864.20 : x
  2. Step 2: Convert to fraction form
    85,000.40/127,464.15 = 42,864.20/x
  3. Step 3: Cross multiply
    85,000.40x = 127,464.15 × 42,864.20
  4. Step 4: Simplify right side
    85,000.40x = 5,463,648,818.43
  5. Step 5: Solve for x
    x = 5,463,648,818.43/85,000.40
  6. Step 6: Final answer
    x = 64,277.92

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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.