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Finding the Fourth Proportional to 132,130.56, 182,279.52 and 84,360

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Solution

The fourth proportional to 132,130.56, 182,279.52 and 84,360 is: 116,378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,130.56 : 182,279.52 = 84,360 : x
  2. Step 2: Convert to fraction form
    132,130.56/182,279.52 = 84,360/x
  3. Step 3: Cross multiply
    132,130.56x = 182,279.52 × 84,360
  4. Step 4: Simplify right side
    132,130.56x = 15,377,100,307.20
  5. Step 5: Solve for x
    x = 15,377,100,307.20/132,130.56
  6. Step 6: Final answer
    x = 116,378.08

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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.