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Finding the Fourth Proportional to 132,143.40, 198,215.10 and 105,899.40

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Solution

The fourth proportional to 132,143.40, 198,215.10 and 105,899.40 is: 158,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,143.40 : 198,215.10 = 105,899.40 : x
  2. Step 2: Convert to fraction form
    132,143.40/198,215.10 = 105,899.40/x
  3. Step 3: Cross multiply
    132,143.40x = 198,215.10 × 105,899.40
  4. Step 4: Simplify right side
    132,143.40x = 20,990,860,160.94
  5. Step 5: Solve for x
    x = 20,990,860,160.94/132,143.40
  6. Step 6: Final answer
    x = 158,849.10

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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.