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Finding the Fourth Proportional to 102,458.42, 141,389.28 and 56,517.95

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Solution

The fourth proportional to 102,458.42, 141,389.28 and 56,517.95 is: 77,992.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,458.42 : 141,389.28 = 56,517.95 : x
  2. Step 2: Convert to fraction form
    102,458.42/141,389.28 = 56,517.95/x
  3. Step 3: Cross multiply
    102,458.42x = 141,389.28 × 56,517.95
  4. Step 4: Simplify right side
    102,458.42x = 7,991,031,550.63
  5. Step 5: Solve for x
    x = 7,991,031,550.63/102,458.42
  6. Step 6: Final answer
    x = 77,992.93

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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.