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Finding the Fourth Proportional to 140,866.18, 194,394.94 and 76,337.20

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Solution

The fourth proportional to 140,866.18, 194,394.94 and 76,337.20 is: 105,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,866.18 : 194,394.94 = 76,337.20 : x
  2. Step 2: Convert to fraction form
    140,866.18/194,394.94 = 76,337.20/x
  3. Step 3: Cross multiply
    140,866.18x = 194,394.94 × 76,337.20
  4. Step 4: Simplify right side
    140,866.18x = 14,839,565,413.77
  5. Step 5: Solve for x
    x = 14,839,565,413.77/140,866.18
  6. Step 6: Final answer
    x = 105,345.13

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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.