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Finding the Fourth Proportional to 114,583.97, 171,792.72 and 77,050.80

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Solution

The fourth proportional to 114,583.97, 171,792.72 and 77,050.80 is: 115,520.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,583.97 : 171,792.72 = 77,050.80 : x
  2. Step 2: Convert to fraction form
    114,583.97/171,792.72 = 77,050.80/x
  3. Step 3: Cross multiply
    114,583.97x = 171,792.72 × 77,050.80
  4. Step 4: Simplify right side
    114,583.97x = 13,236,766,510.18
  5. Step 5: Solve for x
    x = 13,236,766,510.18/114,583.97
  6. Step 6: Final answer
    x = 115,520.23

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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.