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Finding the Fourth Proportional to 83,117.68, 114,700.80 and 45,392.20

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Solution

The fourth proportional to 83,117.68, 114,700.80 and 45,392.20 is: 62,640.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,117.68 : 114,700.80 = 45,392.20 : x
  2. Step 2: Convert to fraction form
    83,117.68/114,700.80 = 45,392.20/x
  3. Step 3: Cross multiply
    83,117.68x = 114,700.80 × 45,392.20
  4. Step 4: Simplify right side
    83,117.68x = 5,206,521,653.76
  5. Step 5: Solve for x
    x = 5,206,521,653.76/83,117.68
  6. Step 6: Final answer
    x = 62,640.36

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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.