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Finding the Fourth Proportional to 131,006.40, 196,412.40 and 42,208.80

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Solution

The fourth proportional to 131,006.40, 196,412.40 and 42,208.80 is: 63,281.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,006.40 : 196,412.40 = 42,208.80 : x
  2. Step 2: Convert to fraction form
    131,006.40/196,412.40 = 42,208.80/x
  3. Step 3: Cross multiply
    131,006.40x = 196,412.40 × 42,208.80
  4. Step 4: Simplify right side
    131,006.40x = 8,290,331,709.12
  5. Step 5: Solve for x
    x = 8,290,331,709.12/131,006.40
  6. Step 6: Final answer
    x = 63,281.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.