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Finding the Fourth Proportional to 134,842.60, 202,288.20 and 55,964.80

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Solution

The fourth proportional to 134,842.60, 202,288.20 and 55,964.80 is: 83,957.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,842.60 : 202,288.20 = 55,964.80 : x
  2. Step 2: Convert to fraction form
    134,842.60/202,288.20 = 55,964.80/x
  3. Step 3: Cross multiply
    134,842.60x = 202,288.20 × 55,964.80
  4. Step 4: Simplify right side
    134,842.60x = 11,321,018,655.36
  5. Step 5: Solve for x
    x = 11,321,018,655.36/134,842.60
  6. Step 6: Final answer
    x = 83,957.29

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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.