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Finding the Fourth Proportional to 137,166.16, 205,765.68 and 48,401.32

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Solution

The fourth proportional to 137,166.16, 205,765.68 and 48,401.32 is: 72,607.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,166.16 : 205,765.68 = 48,401.32 : x
  2. Step 2: Convert to fraction form
    137,166.16/205,765.68 = 48,401.32/x
  3. Step 3: Cross multiply
    137,166.16x = 205,765.68 × 48,401.32
  4. Step 4: Simplify right side
    137,166.16x = 9,959,330,522.70
  5. Step 5: Solve for x
    x = 9,959,330,522.70/137,166.16
  6. Step 6: Final answer
    x = 72,607.78

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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.