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Finding the Fourth Proportional to 101,323.65, 151,854.02 and 41,282.30

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Solution

The fourth proportional to 101,323.65, 151,854.02 and 41,282.30 is: 61,869.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,323.65 : 151,854.02 = 41,282.30 : x
  2. Step 2: Convert to fraction form
    101,323.65/151,854.02 = 41,282.30/x
  3. Step 3: Cross multiply
    101,323.65x = 151,854.02 × 41,282.30
  4. Step 4: Simplify right side
    101,323.65x = 6,268,883,209.85
  5. Step 5: Solve for x
    x = 6,268,883,209.85/101,323.65
  6. Step 6: Final answer
    x = 61,869.89

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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.