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Finding the Fourth Proportional to 127,873.22, 176,465.80 and 74,190.20

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Solution

The fourth proportional to 127,873.22, 176,465.80 and 74,190.20 is: 102,382.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,873.22 : 176,465.80 = 74,190.20 : x
  2. Step 2: Convert to fraction form
    127,873.22/176,465.80 = 74,190.20/x
  3. Step 3: Cross multiply
    127,873.22x = 176,465.80 × 74,190.20
  4. Step 4: Simplify right side
    127,873.22x = 13,092,031,927.36
  5. Step 5: Solve for x
    x = 13,092,031,927.36/127,873.22
  6. Step 6: Final answer
    x = 102,382.91

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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.