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Finding the Fourth Proportional to 116,648.40, 160,970.16 and 68,917.20

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Solution

The fourth proportional to 116,648.40, 160,970.16 and 68,917.20 is: 95,103.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,648.40 : 160,970.16 = 68,917.20 : x
  2. Step 2: Convert to fraction form
    116,648.40/160,970.16 = 68,917.20/x
  3. Step 3: Cross multiply
    116,648.40x = 160,970.16 × 68,917.20
  4. Step 4: Simplify right side
    116,648.40x = 11,093,612,710.75
  5. Step 5: Solve for x
    x = 11,093,612,710.75/116,648.40
  6. Step 6: Final answer
    x = 95,103.00

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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.