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Finding the Fourth Proportional to 164,964.96, 247,278.42 and 65,084.76

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Solution

The fourth proportional to 164,964.96, 247,278.42 and 65,084.76 is: 97,560.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,964.96 : 247,278.42 = 65,084.76 : x
  2. Step 2: Convert to fraction form
    164,964.96/247,278.42 = 65,084.76/x
  3. Step 3: Cross multiply
    164,964.96x = 247,278.42 × 65,084.76
  4. Step 4: Simplify right side
    164,964.96x = 16,094,056,618.88
  5. Step 5: Solve for x
    x = 16,094,056,618.88/164,964.96
  6. Step 6: Final answer
    x = 97,560.46

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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.