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Finding the Fourth Proportional to 140,362.80, 193,702.01 and 76,701.95

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Solution

The fourth proportional to 140,362.80, 193,702.01 and 76,701.95 is: 105,849.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,362.80 : 193,702.01 = 76,701.95 : x
  2. Step 2: Convert to fraction form
    140,362.80/193,702.01 = 76,701.95/x
  3. Step 3: Cross multiply
    140,362.80x = 193,702.01 × 76,701.95
  4. Step 4: Simplify right side
    140,362.80x = 14,857,320,533.90
  5. Step 5: Solve for x
    x = 14,857,320,533.90/140,362.80
  6. Step 6: Final answer
    x = 105,849.42

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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.