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Finding the Fourth Proportional to 130,871.32, 196,338.30 and 42,133.12

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Solution

The fourth proportional to 130,871.32, 196,338.30 and 42,133.12 is: 63,209.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,871.32 : 196,338.30 = 42,133.12 : x
  2. Step 2: Convert to fraction form
    130,871.32/196,338.30 = 42,133.12/x
  3. Step 3: Cross multiply
    130,871.32x = 196,338.30 × 42,133.12
  4. Step 4: Simplify right side
    130,871.32x = 8,272,345,154.50
  5. Step 5: Solve for x
    x = 8,272,345,154.50/130,871.32
  6. Step 6: Final answer
    x = 63,209.76

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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.