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Finding the Fourth Proportional to 105,417.84, 158,129.31 and 41,373.24

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Solution

The fourth proportional to 105,417.84, 158,129.31 and 41,373.24 is: 62,060.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,417.84 : 158,129.31 = 41,373.24 : x
  2. Step 2: Convert to fraction form
    105,417.84/158,129.31 = 41,373.24/x
  3. Step 3: Cross multiply
    105,417.84x = 158,129.31 × 41,373.24
  4. Step 4: Simplify right side
    105,417.84x = 6,542,321,893.66
  5. Step 5: Solve for x
    x = 6,542,321,893.66/105,417.84
  6. Step 6: Final answer
    x = 62,060.86

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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.