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Finding the Fourth Proportional to 134,422.56, 185,494.38 and 77,061.18

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Solution

The fourth proportional to 134,422.56, 185,494.38 and 77,061.18 is: 106,339.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,422.56 : 185,494.38 = 77,061.18 : x
  2. Step 2: Convert to fraction form
    134,422.56/185,494.38 = 77,061.18/x
  3. Step 3: Cross multiply
    134,422.56x = 185,494.38 × 77,061.18
  4. Step 4: Simplify right side
    134,422.56x = 14,294,415,806.17
  5. Step 5: Solve for x
    x = 14,294,415,806.17/134,422.56
  6. Step 6: Final answer
    x = 106,339.41

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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.