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Finding the Fourth Proportional to 105,792.70, 158,524.98 and 61,309.12

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Solution

The fourth proportional to 105,792.70, 158,524.98 and 61,309.12 is: 91,868.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,792.70 : 158,524.98 = 61,309.12 : x
  2. Step 2: Convert to fraction form
    105,792.70/158,524.98 = 61,309.12/x
  3. Step 3: Cross multiply
    105,792.70x = 158,524.98 × 61,309.12
  4. Step 4: Simplify right side
    105,792.70x = 9,719,027,021.82
  5. Step 5: Solve for x
    x = 9,719,027,021.82/105,792.70
  6. Step 6: Final answer
    x = 91,868.60

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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.