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Finding the Fourth Proportional to 144,004.95, 198,726.51 and 83,610.95

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Solution

The fourth proportional to 144,004.95, 198,726.51 and 83,610.95 is: 115,382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,004.95 : 198,726.51 = 83,610.95 : x
  2. Step 2: Convert to fraction form
    144,004.95/198,726.51 = 83,610.95/x
  3. Step 3: Cross multiply
    144,004.95x = 198,726.51 × 83,610.95
  4. Step 4: Simplify right side
    144,004.95x = 16,615,711,297.65
  5. Step 5: Solve for x
    x = 16,615,711,297.65/144,004.95
  6. Step 6: Final answer
    x = 115,382.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.