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Finding the Fourth Proportional to 105,854.62, 158,830.44 and 45,901.48

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Solution

The fourth proportional to 105,854.62, 158,830.44 and 45,901.48 is: 68,873.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,854.62 : 158,830.44 = 45,901.48 : x
  2. Step 2: Convert to fraction form
    105,854.62/158,830.44 = 45,901.48/x
  3. Step 3: Cross multiply
    105,854.62x = 158,830.44 × 45,901.48
  4. Step 4: Simplify right side
    105,854.62x = 7,290,552,265.05
  5. Step 5: Solve for x
    x = 7,290,552,265.05/105,854.62
  6. Step 6: Final answer
    x = 68,873.26

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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.