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Finding the Fourth Proportional to 131,873.84, 181,985.67 and 71,446.02

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Solution

The fourth proportional to 131,873.84, 181,985.67 and 71,446.02 is: 98,595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,873.84 : 181,985.67 = 71,446.02 : x
  2. Step 2: Convert to fraction form
    131,873.84/181,985.67 = 71,446.02/x
  3. Step 3: Cross multiply
    131,873.84x = 181,985.67 × 71,446.02
  4. Step 4: Simplify right side
    131,873.84x = 13,002,151,818.53
  5. Step 5: Solve for x
    x = 13,002,151,818.53/131,873.84
  6. Step 6: Final answer
    x = 98,595.39

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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.