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Finding the Fourth Proportional to 105,422.50, 158,095.68 and 42,257.08

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Solution

The fourth proportional to 105,422.50, 158,095.68 and 42,257.08 is: 63,370.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,422.50 : 158,095.68 = 42,257.08 : x
  2. Step 2: Convert to fraction form
    105,422.50/158,095.68 = 42,257.08/x
  3. Step 3: Cross multiply
    105,422.50x = 158,095.68 × 42,257.08
  4. Step 4: Simplify right side
    105,422.50x = 6,680,661,797.41
  5. Step 5: Solve for x
    x = 6,680,661,797.41/105,422.50
  6. Step 6: Final answer
    x = 63,370.36

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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.