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Finding the Fourth Proportional to 137,046.48, 205,583.40 and 37,208.28

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Solution

The fourth proportional to 137,046.48, 205,583.40 and 37,208.28 is: 55,816.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,046.48 : 205,583.40 = 37,208.28 : x
  2. Step 2: Convert to fraction form
    137,046.48/205,583.40 = 37,208.28/x
  3. Step 3: Cross multiply
    137,046.48x = 205,583.40 × 37,208.28
  4. Step 4: Simplify right side
    137,046.48x = 7,649,404,710.55
  5. Step 5: Solve for x
    x = 7,649,404,710.55/137,046.48
  6. Step 6: Final answer
    x = 55,816.13

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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.