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Finding the Fourth Proportional to 131,062.38, 180,822.59 and 106,821.72

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Solution

The fourth proportional to 131,062.38, 180,822.59 and 106,821.72 is: 147,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,062.38 : 180,822.59 = 106,821.72 : x
  2. Step 2: Convert to fraction form
    131,062.38/180,822.59 = 106,821.72/x
  3. Step 3: Cross multiply
    131,062.38x = 180,822.59 × 106,821.72
  4. Step 4: Simplify right side
    131,062.38x = 19,315,779,544.55
  5. Step 5: Solve for x
    x = 19,315,779,544.55/131,062.38
  6. Step 6: Final answer
    x = 147,378.52

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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.