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Finding the Fourth Proportional to 132,051.80, 198,004.80 and 57,159.20

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Solution

The fourth proportional to 132,051.80, 198,004.80 and 57,159.20 is: 85,707.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,051.80 : 198,004.80 = 57,159.20 : x
  2. Step 2: Convert to fraction form
    132,051.80/198,004.80 = 57,159.20/x
  3. Step 3: Cross multiply
    132,051.80x = 198,004.80 × 57,159.20
  4. Step 4: Simplify right side
    132,051.80x = 11,317,795,964.16
  5. Step 5: Solve for x
    x = 11,317,795,964.16/132,051.80
  6. Step 6: Final answer
    x = 85,707.24

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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.