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Finding the Fourth Proportional to 131,423.64, 181,301.40 and 86,082

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Solution

The fourth proportional to 131,423.64, 181,301.40 and 86,082 is: 118,751.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,423.64 : 181,301.40 = 86,082 : x
  2. Step 2: Convert to fraction form
    131,423.64/181,301.40 = 86,082/x
  3. Step 3: Cross multiply
    131,423.64x = 181,301.40 × 86,082
  4. Step 4: Simplify right side
    131,423.64x = 15,606,787,114.80
  5. Step 5: Solve for x
    x = 15,606,787,114.80/131,423.64
  6. Step 6: Final answer
    x = 118,751.75

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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.