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Finding the Fourth Proportional to 137,042.60, 205,434.30 and 80,925.80

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Solution

The fourth proportional to 137,042.60, 205,434.30 and 80,925.80 is: 121,312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,042.60 : 205,434.30 = 80,925.80 : x
  2. Step 2: Convert to fraction form
    137,042.60/205,434.30 = 80,925.80/x
  3. Step 3: Cross multiply
    137,042.60x = 205,434.30 × 80,925.80
  4. Step 4: Simplify right side
    137,042.60x = 16,624,935,074.94
  5. Step 5: Solve for x
    x = 16,624,935,074.94/137,042.60
  6. Step 6: Final answer
    x = 121,312.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.