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Finding the Fourth Proportional to 179,065.14, 268,669.46 and 65,220.90

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Solution

The fourth proportional to 179,065.14, 268,669.46 and 65,220.90 is: 97,857.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,065.14 : 268,669.46 = 65,220.90 : x
  2. Step 2: Convert to fraction form
    179,065.14/268,669.46 = 65,220.90/x
  3. Step 3: Cross multiply
    179,065.14x = 268,669.46 × 65,220.90
  4. Step 4: Simplify right side
    179,065.14x = 17,522,863,983.71
  5. Step 5: Solve for x
    x = 17,522,863,983.71/179,065.14
  6. Step 6: Final answer
    x = 97,857.48

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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.