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Finding the Fourth Proportional to 119,089.38, 164,356.43 and 68,106.86

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Solution

The fourth proportional to 119,089.38, 164,356.43 and 68,106.86 is: 93,994.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,089.38 : 164,356.43 = 68,106.86 : x
  2. Step 2: Convert to fraction form
    119,089.38/164,356.43 = 68,106.86/x
  3. Step 3: Cross multiply
    119,089.38x = 164,356.43 × 68,106.86
  4. Step 4: Simplify right side
    119,089.38x = 11,193,799,205.79
  5. Step 5: Solve for x
    x = 11,193,799,205.79/119,089.38
  6. Step 6: Final answer
    x = 93,994.94

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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.