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Finding the Fourth Proportional to 288,182.25, 432,275.81 and 101,193.75

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Solution

The fourth proportional to 288,182.25, 432,275.81 and 101,193.75 is: 151,791.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,182.25 : 432,275.81 = 101,193.75 : x
  2. Step 2: Convert to fraction form
    288,182.25/432,275.81 = 101,193.75/x
  3. Step 3: Cross multiply
    288,182.25x = 432,275.81 × 101,193.75
  4. Step 4: Simplify right side
    288,182.25x = 43,743,609,742.22
  5. Step 5: Solve for x
    x = 43,743,609,742.22/288,182.25
  6. Step 6: Final answer
    x = 151,791.48

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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.