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Finding the Fourth Proportional to 132,119, 198,199.14 and 43,352.31

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Solution

The fourth proportional to 132,119, 198,199.14 and 43,352.31 is: 65,035.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,119 : 198,199.14 = 43,352.31 : x
  2. Step 2: Convert to fraction form
    132,119/198,199.14 = 43,352.31/x
  3. Step 3: Cross multiply
    132,119x = 198,199.14 × 43,352.31
  4. Step 4: Simplify right side
    132,119x = 8,592,390,559.01
  5. Step 5: Solve for x
    x = 8,592,390,559.01/132,119
  6. Step 6: Final answer
    x = 65,035.24

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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.