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Finding the Fourth Proportional to 140,171.49, 193,436.60 and 76,509.32

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Solution

The fourth proportional to 140,171.49, 193,436.60 and 76,509.32 is: 105,582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,171.49 : 193,436.60 = 76,509.32 : x
  2. Step 2: Convert to fraction form
    140,171.49/193,436.60 = 76,509.32/x
  3. Step 3: Cross multiply
    140,171.49x = 193,436.60 × 76,509.32
  4. Step 4: Simplify right side
    140,171.49x = 14,799,701,379.38
  5. Step 5: Solve for x
    x = 14,799,701,379.38/140,171.49
  6. Step 6: Final answer
    x = 105,582.82

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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.