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Finding the Fourth Proportional to 185,776.74, 256,478.13 and 122,299.07

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Solution

The fourth proportional to 185,776.74, 256,478.13 and 122,299.07 is: 168,842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,776.74 : 256,478.13 = 122,299.07 : x
  2. Step 2: Convert to fraction form
    185,776.74/256,478.13 = 122,299.07/x
  3. Step 3: Cross multiply
    185,776.74x = 256,478.13 × 122,299.07
  4. Step 4: Simplify right side
    185,776.74x = 31,367,035,491.95
  5. Step 5: Solve for x
    x = 31,367,035,491.95/185,776.74
  6. Step 6: Final answer
    x = 168,842.64

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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.