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Finding the Fourth Proportional to 141,259.53, 194,939.56 and 77,597.38

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Solution

The fourth proportional to 141,259.53, 194,939.56 and 77,597.38 is: 107,085.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,259.53 : 194,939.56 = 77,597.38 : x
  2. Step 2: Convert to fraction form
    141,259.53/194,939.56 = 77,597.38/x
  3. Step 3: Cross multiply
    141,259.53x = 194,939.56 × 77,597.38
  4. Step 4: Simplify right side
    141,259.53x = 15,126,799,114.35
  5. Step 5: Solve for x
    x = 15,126,799,114.35/141,259.53
  6. Step 6: Final answer
    x = 107,085.16

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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.