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Finding the Fourth Proportional to 85,728.24, 119,017.62 and 83,162.16

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Solution

The fourth proportional to 85,728.24, 119,017.62 and 83,162.16 is: 115,455.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,728.24 : 119,017.62 = 83,162.16 : x
  2. Step 2: Convert to fraction form
    85,728.24/119,017.62 = 83,162.16/x
  3. Step 3: Cross multiply
    85,728.24x = 119,017.62 × 83,162.16
  4. Step 4: Simplify right side
    85,728.24x = 9,897,762,357.26
  5. Step 5: Solve for x
    x = 9,897,762,357.26/85,728.24
  6. Step 6: Final answer
    x = 115,455.10

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.