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Finding the Fourth Proportional to 185,859.90, 256,488.47 and 105,285.70

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Solution

The fourth proportional to 185,859.90, 256,488.47 and 105,285.70 is: 145,295.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,859.90 : 256,488.47 = 105,285.70 : x
  2. Step 2: Convert to fraction form
    185,859.90/256,488.47 = 105,285.70/x
  3. Step 3: Cross multiply
    185,859.90x = 256,488.47 × 105,285.70
  4. Step 4: Simplify right side
    185,859.90x = 27,004,568,294.88
  5. Step 5: Solve for x
    x = 27,004,568,294.88/185,859.90
  6. Step 6: Final answer
    x = 145,295.29

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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.