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Finding the Fourth Proportional to 132,162.60, 198,322.50 and 47,914.50

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Solution

The fourth proportional to 132,162.60, 198,322.50 and 47,914.50 is: 71,900.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,162.60 : 198,322.50 = 47,914.50 : x
  2. Step 2: Convert to fraction form
    132,162.60/198,322.50 = 47,914.50/x
  3. Step 3: Cross multiply
    132,162.60x = 198,322.50 × 47,914.50
  4. Step 4: Simplify right side
    132,162.60x = 9,502,523,426.25
  5. Step 5: Solve for x
    x = 9,502,523,426.25/132,162.60
  6. Step 6: Final answer
    x = 71,900.25

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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.