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Finding the Fourth Proportional to 140,773.74, 194,267.76 and 77,113.80

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Solution

The fourth proportional to 140,773.74, 194,267.76 and 77,113.80 is: 106,417.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,773.74 : 194,267.76 = 77,113.80 : x
  2. Step 2: Convert to fraction form
    140,773.74/194,267.76 = 77,113.80/x
  3. Step 3: Cross multiply
    140,773.74x = 194,267.76 × 77,113.80
  4. Step 4: Simplify right side
    140,773.74x = 14,980,725,191.09
  5. Step 5: Solve for x
    x = 14,980,725,191.09/140,773.74
  6. Step 6: Final answer
    x = 106,417.04

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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.