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Finding the Fourth Proportional to 105,473.52, 158,235.66 and 43,144.20

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Solution

The fourth proportional to 105,473.52, 158,235.66 and 43,144.20 is: 64,726.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,473.52 : 158,235.66 = 43,144.20 : x
  2. Step 2: Convert to fraction form
    105,473.52/158,235.66 = 43,144.20/x
  3. Step 3: Cross multiply
    105,473.52x = 158,235.66 × 43,144.20
  4. Step 4: Simplify right side
    105,473.52x = 6,826,950,962.17
  5. Step 5: Solve for x
    x = 6,826,950,962.17/105,473.52
  6. Step 6: Final answer
    x = 64,726.68

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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.