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Finding the Fourth Proportional to 106,202, 159,291.96 and 66,641.84

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Solution

The fourth proportional to 106,202, 159,291.96 and 66,641.84 is: 99,955.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,202 : 159,291.96 = 66,641.84 : x
  2. Step 2: Convert to fraction form
    106,202/159,291.96 = 66,641.84/x
  3. Step 3: Cross multiply
    106,202x = 159,291.96 × 66,641.84
  4. Step 4: Simplify right side
    106,202x = 10,615,509,311.61
  5. Step 5: Solve for x
    x = 10,615,509,311.61/106,202
  6. Step 6: Final answer
    x = 99,955.83

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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.