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Finding the Fourth Proportional to 103,098.58, 142,286 and 57,784.20

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Solution

The fourth proportional to 103,098.58, 142,286 and 57,784.20 is: 79,747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,098.58 : 142,286 = 57,784.20 : x
  2. Step 2: Convert to fraction form
    103,098.58/142,286 = 57,784.20/x
  3. Step 3: Cross multiply
    103,098.58x = 142,286 × 57,784.20
  4. Step 4: Simplify right side
    103,098.58x = 8,221,882,681.20
  5. Step 5: Solve for x
    x = 8,221,882,681.20/103,098.58
  6. Step 6: Final answer
    x = 79,747.78

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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.