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Finding the Fourth Proportional to 132,113.32, 198,168.01 and 53,225.53

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Solution

The fourth proportional to 132,113.32, 198,168.01 and 53,225.53 is: 79,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,113.32 : 198,168.01 = 53,225.53 : x
  2. Step 2: Convert to fraction form
    132,113.32/198,168.01 = 53,225.53/x
  3. Step 3: Cross multiply
    132,113.32x = 198,168.01 × 53,225.53
  4. Step 4: Simplify right side
    132,113.32x = 10,547,597,361.30
  5. Step 5: Solve for x
    x = 10,547,597,361.30/132,113.32
  6. Step 6: Final answer
    x = 79,837.50

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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.