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Finding the Fourth Proportional to 132,013.60, 198,214.80 and 102,464.80

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Solution

The fourth proportional to 132,013.60, 198,214.80 and 102,464.80 is: 153,848.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,013.60 : 198,214.80 = 102,464.80 : x
  2. Step 2: Convert to fraction form
    132,013.60/198,214.80 = 102,464.80/x
  3. Step 3: Cross multiply
    132,013.60x = 198,214.80 × 102,464.80
  4. Step 4: Simplify right side
    132,013.60x = 20,310,039,839.04
  5. Step 5: Solve for x
    x = 20,310,039,839.04/132,013.60
  6. Step 6: Final answer
    x = 153,848.09

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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.