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Finding the Fourth Proportional to 132,657.60, 198,986.40 and 120,410.40

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Solution

The fourth proportional to 132,657.60, 198,986.40 and 120,410.40 is: 180,615.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,657.60 : 198,986.40 = 120,410.40 : x
  2. Step 2: Convert to fraction form
    132,657.60/198,986.40 = 120,410.40/x
  3. Step 3: Cross multiply
    132,657.60x = 198,986.40 × 120,410.40
  4. Step 4: Simplify right side
    132,657.60x = 23,960,032,018.56
  5. Step 5: Solve for x
    x = 23,960,032,018.56/132,657.60
  6. Step 6: Final answer
    x = 180,615.60

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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.