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Finding the Fourth Proportional to 141,963.60, 212,945.40 and 106,534.20

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Solution

The fourth proportional to 141,963.60, 212,945.40 and 106,534.20 is: 159,801.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,963.60 : 212,945.40 = 106,534.20 : x
  2. Step 2: Convert to fraction form
    141,963.60/212,945.40 = 106,534.20/x
  3. Step 3: Cross multiply
    141,963.60x = 212,945.40 × 106,534.20
  4. Step 4: Simplify right side
    141,963.60x = 22,685,967,832.68
  5. Step 5: Solve for x
    x = 22,685,967,832.68/141,963.60
  6. Step 6: Final answer
    x = 159,801.30

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1.5x scale

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.