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Finding the Fourth Proportional to 131,489.80, 197,186.10 and 42,746.20

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Solution

The fourth proportional to 131,489.80, 197,186.10 and 42,746.20 is: 64,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,489.80 : 197,186.10 = 42,746.20 : x
  2. Step 2: Convert to fraction form
    131,489.80/197,186.10 = 42,746.20/x
  3. Step 3: Cross multiply
    131,489.80x = 197,186.10 × 42,746.20
  4. Step 4: Simplify right side
    131,489.80x = 8,428,956,467.82
  5. Step 5: Solve for x
    x = 8,428,956,467.82/131,489.80
  6. Step 6: Final answer
    x = 64,103.50

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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.