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Finding the Fourth Proportional to 192,411.40, 288,648.69 and 59,291.68

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Solution

The fourth proportional to 192,411.40, 288,648.69 and 59,291.68 is: 88,947.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,411.40 : 288,648.69 = 59,291.68 : x
  2. Step 2: Convert to fraction form
    192,411.40/288,648.69 = 59,291.68/x
  3. Step 3: Cross multiply
    192,411.40x = 288,648.69 × 59,291.68
  4. Step 4: Simplify right side
    192,411.40x = 17,114,465,759.90
  5. Step 5: Solve for x
    x = 17,114,465,759.90/192,411.40
  6. Step 6: Final answer
    x = 88,947.25

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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.