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Finding the Fourth Proportional to 185,892.23, 256,532.13 and 105,335.46

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Solution

The fourth proportional to 185,892.23, 256,532.13 and 105,335.46 is: 145,363.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,892.23 : 256,532.13 = 105,335.46 : x
  2. Step 2: Convert to fraction form
    185,892.23/256,532.13 = 105,335.46/x
  3. Step 3: Cross multiply
    185,892.23x = 256,532.13 × 105,335.46
  4. Step 4: Simplify right side
    185,892.23x = 27,021,929,918.33
  5. Step 5: Solve for x
    x = 27,021,929,918.33/185,892.23
  6. Step 6: Final answer
    x = 145,363.42

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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.