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Finding the Fourth Proportional to 192,132, 288,206.24 and 59,017.60

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Solution

The fourth proportional to 192,132, 288,206.24 and 59,017.60 is: 88,528.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,132 : 288,206.24 = 59,017.60 : x
  2. Step 2: Convert to fraction form
    192,132/288,206.24 = 59,017.60/x
  3. Step 3: Cross multiply
    192,132x = 288,206.24 × 59,017.60
  4. Step 4: Simplify right side
    192,132x = 17,009,240,589.82
  5. Step 5: Solve for x
    x = 17,009,240,589.82/192,132
  6. Step 6: Final answer
    x = 88,528.93

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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.