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Finding the Fourth Proportional to 164,839.32, 247,176.94 and 52,504.98

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Solution

The fourth proportional to 164,839.32, 247,176.94 and 52,504.98 is: 78,731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,839.32 : 247,176.94 = 52,504.98 : x
  2. Step 2: Convert to fraction form
    164,839.32/247,176.94 = 52,504.98/x
  3. Step 3: Cross multiply
    164,839.32x = 247,176.94 × 52,504.98
  4. Step 4: Simplify right side
    164,839.32x = 12,978,020,291.16
  5. Step 5: Solve for x
    x = 12,978,020,291.16/164,839.32
  6. Step 6: Final answer
    x = 78,731.34

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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.