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Finding the Fourth Proportional to 102,468.48, 141,406.23 and 57,146.52

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Solution

The fourth proportional to 102,468.48, 141,406.23 and 57,146.52 is: 78,862.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,468.48 : 141,406.23 = 57,146.52 : x
  2. Step 2: Convert to fraction form
    102,468.48/141,406.23 = 57,146.52/x
  3. Step 3: Cross multiply
    102,468.48x = 141,406.23 × 57,146.52
  4. Step 4: Simplify right side
    102,468.48x = 8,080,873,950.82
  5. Step 5: Solve for x
    x = 8,080,873,950.82/102,468.48
  6. Step 6: Final answer
    x = 78,862.05

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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.