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Finding the Fourth Proportional to 285,695.56, 428,544.06 and 86,016.52

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Solution

The fourth proportional to 285,695.56, 428,544.06 and 86,016.52 is: 129,025.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,695.56 : 428,544.06 = 86,016.52 : x
  2. Step 2: Convert to fraction form
    285,695.56/428,544.06 = 86,016.52/x
  3. Step 3: Cross multiply
    285,695.56x = 428,544.06 × 86,016.52
  4. Step 4: Simplify right side
    285,695.56x = 36,861,868,707.87
  5. Step 5: Solve for x
    x = 36,861,868,707.87/285,695.56
  6. Step 6: Final answer
    x = 129,025.00

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Why These Related Problems?

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