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Finding the Fourth Proportional to 114,283.92, 171,589.50 and 69,998.52

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Solution

The fourth proportional to 114,283.92, 171,589.50 and 69,998.52 is: 105,098.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,283.92 : 171,589.50 = 69,998.52 : x
  2. Step 2: Convert to fraction form
    114,283.92/171,589.50 = 69,998.52/x
  3. Step 3: Cross multiply
    114,283.92x = 171,589.50 × 69,998.52
  4. Step 4: Simplify right side
    114,283.92x = 12,011,011,047.54
  5. Step 5: Solve for x
    x = 12,011,011,047.54/114,283.92
  6. Step 6: Final answer
    x = 105,098.00

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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.