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Finding the Fourth Proportional to 121,814.30, 182,752.54 and 50,713.32

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Solution

The fourth proportional to 121,814.30, 182,752.54 and 50,713.32 is: 76,082.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,814.30 : 182,752.54 = 50,713.32 : x
  2. Step 2: Convert to fraction form
    121,814.30/182,752.54 = 50,713.32/x
  3. Step 3: Cross multiply
    121,814.30x = 182,752.54 × 50,713.32
  4. Step 4: Simplify right side
    121,814.30x = 9,267,988,041.83
  5. Step 5: Solve for x
    x = 9,267,988,041.83/121,814.30
  6. Step 6: Final answer
    x = 76,082.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.