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Finding the Fourth Proportional to 100,142.60, 138,203.48 and 57,703.88

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Solution

The fourth proportional to 100,142.60, 138,203.48 and 57,703.88 is: 79,635.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,142.60 : 138,203.48 = 57,703.88 : x
  2. Step 2: Convert to fraction form
    100,142.60/138,203.48 = 57,703.88/x
  3. Step 3: Cross multiply
    100,142.60x = 138,203.48 × 57,703.88
  4. Step 4: Simplify right side
    100,142.60x = 7,974,877,025.50
  5. Step 5: Solve for x
    x = 7,974,877,025.50/100,142.60
  6. Step 6: Final answer
    x = 79,635.21

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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.