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Finding the Fourth Proportional to 235,615.16, 353,414.24 and 102,495.52

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Solution

The fourth proportional to 235,615.16, 353,414.24 and 102,495.52 is: 153,739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,615.16 : 353,414.24 = 102,495.52 : x
  2. Step 2: Convert to fraction form
    235,615.16/353,414.24 = 102,495.52/x
  3. Step 3: Cross multiply
    235,615.16x = 353,414.24 × 102,495.52
  4. Step 4: Simplify right side
    235,615.16x = 36,223,376,304.20
  5. Step 5: Solve for x
    x = 36,223,376,304.20/235,615.16
  6. Step 6: Final answer
    x = 153,739.58

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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.