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Finding the Fourth Proportional to 164,795.71, 247,129.62 and 56,704.54

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Solution

The fourth proportional to 164,795.71, 247,129.62 and 56,704.54 is: 85,034.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,795.71 : 247,129.62 = 56,704.54 : x
  2. Step 2: Convert to fraction form
    164,795.71/247,129.62 = 56,704.54/x
  3. Step 3: Cross multiply
    164,795.71x = 247,129.62 × 56,704.54
  4. Step 4: Simplify right side
    164,795.71x = 14,013,371,422.47
  5. Step 5: Solve for x
    x = 14,013,371,422.47/164,795.71
  6. Step 6: Final answer
    x = 85,034.81

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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.