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Finding the Fourth Proportional to 105,496.74, 158,354.46 and 70,679.70

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Solution

The fourth proportional to 105,496.74, 158,354.46 and 70,679.70 is: 106,092.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,496.74 : 158,354.46 = 70,679.70 : x
  2. Step 2: Convert to fraction form
    105,496.74/158,354.46 = 70,679.70/x
  3. Step 3: Cross multiply
    105,496.74x = 158,354.46 × 70,679.70
  4. Step 4: Simplify right side
    105,496.74x = 11,192,445,726.46
  5. Step 5: Solve for x
    x = 11,192,445,726.46/105,496.74
  6. Step 6: Final answer
    x = 106,092.81

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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.