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Finding the Fourth Proportional to 106,838.92, 160,404.18 and 54,285.58

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Solution

The fourth proportional to 106,838.92, 160,404.18 and 54,285.58 is: 81,502.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,838.92 : 160,404.18 = 54,285.58 : x
  2. Step 2: Convert to fraction form
    106,838.92/160,404.18 = 54,285.58/x
  3. Step 3: Cross multiply
    106,838.92x = 160,404.18 × 54,285.58
  4. Step 4: Simplify right side
    106,838.92x = 8,707,633,945.72
  5. Step 5: Solve for x
    x = 8,707,633,945.72/106,838.92
  6. Step 6: Final answer
    x = 81,502.45

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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.