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Finding the Fourth Proportional to 132,477.98, 198,734.06 and 48,225.17

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Solution

The fourth proportional to 132,477.98, 198,734.06 and 48,225.17 is: 72,343.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,477.98 : 198,734.06 = 48,225.17 : x
  2. Step 2: Convert to fraction form
    132,477.98/198,734.06 = 48,225.17/x
  3. Step 3: Cross multiply
    132,477.98x = 198,734.06 × 48,225.17
  4. Step 4: Simplify right side
    132,477.98x = 9,583,984,174.42
  5. Step 5: Solve for x
    x = 9,583,984,174.42/132,477.98
  6. Step 6: Final answer
    x = 72,343.98

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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.