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Finding the Fourth Proportional to 141,085.81, 194,703.38 and 77,424.13

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Solution

The fourth proportional to 141,085.81, 194,703.38 and 77,424.13 is: 106,848.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,085.81 : 194,703.38 = 77,424.13 : x
  2. Step 2: Convert to fraction form
    141,085.81/194,703.38 = 77,424.13/x
  3. Step 3: Cross multiply
    141,085.81x = 194,703.38 × 77,424.13
  4. Step 4: Simplify right side
    141,085.81x = 15,074,739,804.56
  5. Step 5: Solve for x
    x = 15,074,739,804.56/141,085.81
  6. Step 6: Final answer
    x = 106,848.02

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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.