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Finding the Fourth Proportional to 83,188.80, 114,767.84 and 51,302.40

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Solution

The fourth proportional to 83,188.80, 114,767.84 and 51,302.40 is: 70,777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,188.80 : 114,767.84 = 51,302.40 : x
  2. Step 2: Convert to fraction form
    83,188.80/114,767.84 = 51,302.40/x
  3. Step 3: Cross multiply
    83,188.80x = 114,767.84 × 51,302.40
  4. Step 4: Simplify right side
    83,188.80x = 5,887,865,634.82
  5. Step 5: Solve for x
    x = 5,887,865,634.82/83,188.80
  6. Step 6: Final answer
    x = 70,777.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.