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Finding the Fourth Proportional to 194,088.71, 290,959.92 and 75,732.53

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Solution

The fourth proportional to 194,088.71, 290,959.92 and 75,732.53 is: 113,531.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,088.71 : 290,959.92 = 75,732.53 : x
  2. Step 2: Convert to fraction form
    194,088.71/290,959.92 = 75,732.53/x
  3. Step 3: Cross multiply
    194,088.71x = 290,959.92 × 75,732.53
  4. Step 4: Simplify right side
    194,088.71x = 22,035,129,415.40
  5. Step 5: Solve for x
    x = 22,035,129,415.40/194,088.71
  6. Step 6: Final answer
    x = 113,531.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.