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Finding the Fourth Proportional to 106,805.90, 160,036.05 and 67,292.30

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Solution

The fourth proportional to 106,805.90, 160,036.05 and 67,292.30 is: 100,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,805.90 : 160,036.05 = 67,292.30 : x
  2. Step 2: Convert to fraction form
    106,805.90/160,036.05 = 67,292.30/x
  3. Step 3: Cross multiply
    106,805.90x = 160,036.05 × 67,292.30
  4. Step 4: Simplify right side
    106,805.90x = 10,769,193,887.42
  5. Step 5: Solve for x
    x = 10,769,193,887.42/106,805.90
  6. Step 6: Final answer
    x = 100,829.58

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1.5x scale

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.