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Finding the Fourth Proportional to 149,407.84, 206,182.85 and 81,424.83

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Solution

The fourth proportional to 149,407.84, 206,182.85 and 81,424.83 is: 112,366.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,407.84 : 206,182.85 = 81,424.83 : x
  2. Step 2: Convert to fraction form
    149,407.84/206,182.85 = 81,424.83/x
  3. Step 3: Cross multiply
    149,407.84x = 206,182.85 × 81,424.83
  4. Step 4: Simplify right side
    149,407.84x = 16,788,403,510.17
  5. Step 5: Solve for x
    x = 16,788,403,510.17/149,407.84
  6. Step 6: Final answer
    x = 112,366.28

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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.