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Finding the Fourth Proportional to 140,322.76, 193,642.98 and 76,658.92

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Solution

The fourth proportional to 140,322.76, 193,642.98 and 76,658.92 is: 105,787.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,322.76 : 193,642.98 = 76,658.92 : x
  2. Step 2: Convert to fraction form
    140,322.76/193,642.98 = 76,658.92/x
  3. Step 3: Cross multiply
    140,322.76x = 193,642.98 × 76,658.92
  4. Step 4: Simplify right side
    140,322.76x = 14,844,461,712.38
  5. Step 5: Solve for x
    x = 14,844,461,712.38/140,322.76
  6. Step 6: Final answer
    x = 105,787.98

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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.