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Finding the Fourth Proportional to 106,945.70, 160,418.55 and 54,457.70

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Solution

The fourth proportional to 106,945.70, 160,418.55 and 54,457.70 is: 81,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,945.70 : 160,418.55 = 54,457.70 : x
  2. Step 2: Convert to fraction form
    106,945.70/160,418.55 = 54,457.70/x
  3. Step 3: Cross multiply
    106,945.70x = 160,418.55 × 54,457.70
  4. Step 4: Simplify right side
    106,945.70x = 8,736,025,270.34
  5. Step 5: Solve for x
    x = 8,736,025,270.34/106,945.70
  6. Step 6: Final answer
    x = 81,686.55

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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.