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Finding the Fourth Proportional to 170,148.54, 255,148.84 and 51,792.15

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Solution

The fourth proportional to 170,148.54, 255,148.84 and 51,792.15 is: 77,665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,148.54 : 255,148.84 = 51,792.15 : x
  2. Step 2: Convert to fraction form
    170,148.54/255,148.84 = 51,792.15/x
  3. Step 3: Cross multiply
    170,148.54x = 255,148.84 × 51,792.15
  4. Step 4: Simplify right side
    170,148.54x = 13,214,706,993.61
  5. Step 5: Solve for x
    x = 13,214,706,993.61/170,148.54
  6. Step 6: Final answer
    x = 77,665.71

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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.