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Finding the Fourth Proportional to 131,706, 181,754.28 and 75,135.60

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Solution

The fourth proportional to 131,706, 181,754.28 and 75,135.60 is: 103,687.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,706 : 181,754.28 = 75,135.60 : x
  2. Step 2: Convert to fraction form
    131,706/181,754.28 = 75,135.60/x
  3. Step 3: Cross multiply
    131,706x = 181,754.28 × 75,135.60
  4. Step 4: Simplify right side
    131,706x = 13,656,216,880.37
  5. Step 5: Solve for x
    x = 13,656,216,880.37/131,706
  6. Step 6: Final answer
    x = 103,687.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.