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Finding the Fourth Proportional to 185,697.83, 256,264.05 and 109,220.15

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Solution

The fourth proportional to 185,697.83, 256,264.05 and 109,220.15 is: 150,724.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,697.83 : 256,264.05 = 109,220.15 : x
  2. Step 2: Convert to fraction form
    185,697.83/256,264.05 = 109,220.15/x
  3. Step 3: Cross multiply
    185,697.83x = 256,264.05 × 109,220.15
  4. Step 4: Simplify right side
    185,697.83x = 27,989,196,699.29
  5. Step 5: Solve for x
    x = 27,989,196,699.29/185,697.83
  6. Step 6: Final answer
    x = 150,724.42

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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.