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Finding the Fourth Proportional to 137,018.48, 205,541.40 and 37,180.28

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Solution

The fourth proportional to 137,018.48, 205,541.40 and 37,180.28 is: 55,774.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,018.48 : 205,541.40 = 37,180.28 : x
  2. Step 2: Convert to fraction form
    137,018.48/205,541.40 = 37,180.28/x
  3. Step 3: Cross multiply
    137,018.48x = 205,541.40 × 37,180.28
  4. Step 4: Simplify right side
    137,018.48x = 7,642,086,803.59
  5. Step 5: Solve for x
    x = 7,642,086,803.59/137,018.48
  6. Step 6: Final answer
    x = 55,774.13

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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.