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Finding the Fourth Proportional to 185,694.62, 256,264.70 and 105,120.45

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Solution

The fourth proportional to 185,694.62, 256,264.70 and 105,120.45 is: 145,069.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,694.62 : 256,264.70 = 105,120.45 : x
  2. Step 2: Convert to fraction form
    185,694.62/256,264.70 = 105,120.45/x
  3. Step 3: Cross multiply
    185,694.62x = 256,264.70 × 105,120.45
  4. Step 4: Simplify right side
    185,694.62x = 26,938,660,057.51
  5. Step 5: Solve for x
    x = 26,938,660,057.51/185,694.62
  6. Step 6: Final answer
    x = 145,069.69

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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.