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Finding the Fourth Proportional to 137,201.80, 205,802.70 and 48,458.20

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Solution

The fourth proportional to 137,201.80, 205,802.70 and 48,458.20 is: 72,687.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,201.80 : 205,802.70 = 48,458.20 : x
  2. Step 2: Convert to fraction form
    137,201.80/205,802.70 = 48,458.20/x
  3. Step 3: Cross multiply
    137,201.80x = 205,802.70 × 48,458.20
  4. Step 4: Simplify right side
    137,201.80x = 9,972,828,397.14
  5. Step 5: Solve for x
    x = 9,972,828,397.14/137,201.80
  6. Step 6: Final answer
    x = 72,687.30

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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.