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Finding the Fourth Proportional to 172,302.66, 258,424.83 and 47,614.50

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Solution

The fourth proportional to 172,302.66, 258,424.83 and 47,614.50 is: 71,413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,302.66 : 258,424.83 = 47,614.50 : x
  2. Step 2: Convert to fraction form
    172,302.66/258,424.83 = 47,614.50/x
  3. Step 3: Cross multiply
    172,302.66x = 258,424.83 × 47,614.50
  4. Step 4: Simplify right side
    172,302.66x = 12,304,769,068.04
  5. Step 5: Solve for x
    x = 12,304,769,068.04/172,302.66
  6. Step 6: Final answer
    x = 71,413.69

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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.