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Finding the Fourth Proportional to 116,122.92, 160,283.70 and 75,842.79

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Solution

The fourth proportional to 116,122.92, 160,283.70 and 75,842.79 is: 104,685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,122.92 : 160,283.70 = 75,842.79 : x
  2. Step 2: Convert to fraction form
    116,122.92/160,283.70 = 75,842.79/x
  3. Step 3: Cross multiply
    116,122.92x = 160,283.70 × 75,842.79
  4. Step 4: Simplify right side
    116,122.92x = 12,156,362,999.52
  5. Step 5: Solve for x
    x = 12,156,362,999.52/116,122.92
  6. Step 6: Final answer
    x = 104,685.30

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1.5x scale

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.