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Finding the Fourth Proportional to 141,065.76, 194,675.04 and 77,407.68

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Solution

The fourth proportional to 141,065.76, 194,675.04 and 77,407.68 is: 106,824.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,065.76 : 194,675.04 = 77,407.68 : x
  2. Step 2: Convert to fraction form
    141,065.76/194,675.04 = 77,407.68/x
  3. Step 3: Cross multiply
    141,065.76x = 194,675.04 × 77,407.68
  4. Step 4: Simplify right side
    141,065.76x = 15,069,343,200.31
  5. Step 5: Solve for x
    x = 15,069,343,200.31/141,065.76
  6. Step 6: Final answer
    x = 106,824.95

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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.