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Finding the Fourth Proportional to 132,303.16, 198,454.02 and 48,063.16

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Solution

The fourth proportional to 132,303.16, 198,454.02 and 48,063.16 is: 72,094.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,303.16 : 198,454.02 = 48,063.16 : x
  2. Step 2: Convert to fraction form
    132,303.16/198,454.02 = 48,063.16/x
  3. Step 3: Cross multiply
    132,303.16x = 198,454.02 × 48,063.16
  4. Step 4: Simplify right side
    132,303.16x = 9,538,327,315.90
  5. Step 5: Solve for x
    x = 9,538,327,315.90/132,303.16
  6. Step 6: Final answer
    x = 72,094.48

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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.