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Finding the Fourth Proportional to 132,141.69, 198,210.80 and 32,302.76

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Solution

The fourth proportional to 132,141.69, 198,210.80 and 32,302.76 is: 48,453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,141.69 : 198,210.80 = 32,302.76 : x
  2. Step 2: Convert to fraction form
    132,141.69/198,210.80 = 32,302.76/x
  3. Step 3: Cross multiply
    132,141.69x = 198,210.80 × 32,302.76
  4. Step 4: Simplify right side
    132,141.69x = 6,402,754,749.24
  5. Step 5: Solve for x
    x = 6,402,754,749.24/132,141.69
  6. Step 6: Final answer
    x = 48,453.71

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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.