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Finding the Fourth Proportional to 103,086.32, 142,259.04 and 57,764.66

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Solution

The fourth proportional to 103,086.32, 142,259.04 and 57,764.66 is: 79,715.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,086.32 : 142,259.04 = 57,764.66 : x
  2. Step 2: Convert to fraction form
    103,086.32/142,259.04 = 57,764.66/x
  3. Step 3: Cross multiply
    103,086.32x = 142,259.04 × 57,764.66
  4. Step 4: Simplify right side
    103,086.32x = 8,217,544,366.23
  5. Step 5: Solve for x
    x = 8,217,544,366.23/103,086.32
  6. Step 6: Final answer
    x = 79,715.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.