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Finding the Fourth Proportional to 132,070.80, 197,731.80 and 102,541.20

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Solution

The fourth proportional to 132,070.80, 197,731.80 and 102,541.20 is: 153,521.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,070.80 : 197,731.80 = 102,541.20 : x
  2. Step 2: Convert to fraction form
    132,070.80/197,731.80 = 102,541.20/x
  3. Step 3: Cross multiply
    132,070.80x = 197,731.80 × 102,541.20
  4. Step 4: Simplify right side
    132,070.80x = 20,275,656,050.16
  5. Step 5: Solve for x
    x = 20,275,656,050.16/132,070.80
  6. Step 6: Final answer
    x = 153,521.11

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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.