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Finding the Fourth Proportional to 134,559.61, 185,718.34 and 77,232.87

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Solution

The fourth proportional to 134,559.61, 185,718.34 and 77,232.87 is: 106,596.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,559.61 : 185,718.34 = 77,232.87 : x
  2. Step 2: Convert to fraction form
    134,559.61/185,718.34 = 77,232.87/x
  3. Step 3: Cross multiply
    134,559.61x = 185,718.34 × 77,232.87
  4. Step 4: Simplify right side
    134,559.61x = 14,343,560,681.05
  5. Step 5: Solve for x
    x = 14,343,560,681.05/134,559.61
  6. Step 6: Final answer
    x = 106,596.33

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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.