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Finding the Fourth Proportional to 137,301.98, 205,913.20 and 41,235.32

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Solution

The fourth proportional to 137,301.98, 205,913.20 and 41,235.32 is: 61,841.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,301.98 : 205,913.20 = 41,235.32 : x
  2. Step 2: Convert to fraction form
    137,301.98/205,913.20 = 41,235.32/x
  3. Step 3: Cross multiply
    137,301.98x = 205,913.20 × 41,235.32
  4. Step 4: Simplify right side
    137,301.98x = 8,490,896,694.22
  5. Step 5: Solve for x
    x = 8,490,896,694.22/137,301.98
  6. Step 6: Final answer
    x = 61,841.04

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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.