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Finding the Fourth Proportional to 117,713.68, 162,362.63 and 77,414.56

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Solution

The fourth proportional to 117,713.68, 162,362.63 and 77,414.56 is: 106,778.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,713.68 : 162,362.63 = 77,414.56 : x
  2. Step 2: Convert to fraction form
    117,713.68/162,362.63 = 77,414.56/x
  3. Step 3: Cross multiply
    117,713.68x = 162,362.63 × 77,414.56
  4. Step 4: Simplify right side
    117,713.68x = 12,569,231,349.52
  5. Step 5: Solve for x
    x = 12,569,231,349.52/117,713.68
  6. Step 6: Final answer
    x = 106,778.00

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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.