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Finding the Fourth Proportional to 144,537.32, 216,525.45 and 106,517.54

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Solution

The fourth proportional to 144,537.32, 216,525.45 and 106,517.54 is: 159,569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,537.32 : 216,525.45 = 106,517.54 : x
  2. Step 2: Convert to fraction form
    144,537.32/216,525.45 = 106,517.54/x
  3. Step 3: Cross multiply
    144,537.32x = 216,525.45 × 106,517.54
  4. Step 4: Simplify right side
    144,537.32x = 23,063,758,281.39
  5. Step 5: Solve for x
    x = 23,063,758,281.39/144,537.32
  6. Step 6: Final answer
    x = 159,569.57

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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.