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Finding the Fourth Proportional to 137,574.40, 206,167.20 and 84,827.20

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Solution

The fourth proportional to 137,574.40, 206,167.20 and 84,827.20 is: 127,120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,574.40 : 206,167.20 = 84,827.20 : x
  2. Step 2: Convert to fraction form
    137,574.40/206,167.20 = 84,827.20/x
  3. Step 3: Cross multiply
    137,574.40x = 206,167.20 × 84,827.20
  4. Step 4: Simplify right side
    137,574.40x = 17,488,586,307.84
  5. Step 5: Solve for x
    x = 17,488,586,307.84/137,574.40
  6. Step 6: Final answer
    x = 127,120.93

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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.