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Finding the Fourth Proportional to 132,648.32, 183,142.88 and 101,967.04

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Solution

The fourth proportional to 132,648.32, 183,142.88 and 101,967.04 is: 140,782.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,648.32 : 183,142.88 = 101,967.04 : x
  2. Step 2: Convert to fraction form
    132,648.32/183,142.88 = 101,967.04/x
  3. Step 3: Cross multiply
    132,648.32x = 183,142.88 × 101,967.04
  4. Step 4: Simplify right side
    132,648.32x = 18,674,537,370.68
  5. Step 5: Solve for x
    x = 18,674,537,370.68/132,648.32
  6. Step 6: Final answer
    x = 140,782.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.