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Finding the Fourth Proportional to 100,145.87, 138,216.48 and 57,125.15

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Solution

The fourth proportional to 100,145.87, 138,216.48 and 57,125.15 is: 78,841.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,145.87 : 138,216.48 = 57,125.15 : x
  2. Step 2: Convert to fraction form
    100,145.87/138,216.48 = 57,125.15/x
  3. Step 3: Cross multiply
    100,145.87x = 138,216.48 × 57,125.15
  4. Step 4: Simplify right side
    100,145.87x = 7,895,637,152.47
  5. Step 5: Solve for x
    x = 7,895,637,152.47/100,145.87
  6. Step 6: Final answer
    x = 78,841.37

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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.