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Finding the Fourth Proportional to 131,841.44, 181,909.69 and 78,117.17

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Solution

The fourth proportional to 131,841.44, 181,909.69 and 78,117.17 is: 107,783.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,841.44 : 181,909.69 = 78,117.17 : x
  2. Step 2: Convert to fraction form
    131,841.44/181,909.69 = 78,117.17/x
  3. Step 3: Cross multiply
    131,841.44x = 181,909.69 × 78,117.17
  4. Step 4: Simplify right side
    131,841.44x = 14,210,270,178.38
  5. Step 5: Solve for x
    x = 14,210,270,178.38/131,841.44
  6. Step 6: Final answer
    x = 107,783.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.