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Finding the Fourth Proportional to 105,740.40, 158,740.20 and 104,962.80

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Solution

The fourth proportional to 105,740.40, 158,740.20 and 104,962.80 is: 157,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,740.40 : 158,740.20 = 104,962.80 : x
  2. Step 2: Convert to fraction form
    105,740.40/158,740.20 = 104,962.80/x
  3. Step 3: Cross multiply
    105,740.40x = 158,740.20 × 104,962.80
  4. Step 4: Simplify right side
    105,740.40x = 16,661,815,864.56
  5. Step 5: Solve for x
    x = 16,661,815,864.56/105,740.40
  6. Step 6: Final answer
    x = 157,572.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.