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Finding the Fourth Proportional to 192,866.32, 289,095.36 and 87,759.10

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Solution

The fourth proportional to 192,866.32, 289,095.36 and 87,759.10 is: 131,545.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,866.32 : 289,095.36 = 87,759.10 : x
  2. Step 2: Convert to fraction form
    192,866.32/289,095.36 = 87,759.10/x
  3. Step 3: Cross multiply
    192,866.32x = 289,095.36 × 87,759.10
  4. Step 4: Simplify right side
    192,866.32x = 25,370,748,607.78
  5. Step 5: Solve for x
    x = 25,370,748,607.78/192,866.32
  6. Step 6: Final answer
    x = 131,545.77

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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.