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Finding the Fourth Proportional to 106,262.39, 158,564.75 and 96,830.96

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Solution

The fourth proportional to 106,262.39, 158,564.75 and 96,830.96 is: 144,491.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,262.39 : 158,564.75 = 96,830.96 : x
  2. Step 2: Convert to fraction form
    106,262.39/158,564.75 = 96,830.96/x
  3. Step 3: Cross multiply
    106,262.39x = 158,564.75 × 96,830.96
  4. Step 4: Simplify right side
    106,262.39x = 15,353,975,687.68
  5. Step 5: Solve for x
    x = 15,353,975,687.68/106,262.39
  6. Step 6: Final answer
    x = 144,491.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.