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Finding the Fourth Proportional to 185,597.14, 256,124.74 and 100,714.20

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Solution

The fourth proportional to 185,597.14, 256,124.74 and 100,714.20 is: 138,985.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,597.14 : 256,124.74 = 100,714.20 : x
  2. Step 2: Convert to fraction form
    185,597.14/256,124.74 = 100,714.20/x
  3. Step 3: Cross multiply
    185,597.14x = 256,124.74 × 100,714.20
  4. Step 4: Simplify right side
    185,597.14x = 25,795,398,289.31
  5. Step 5: Solve for x
    x = 25,795,398,289.31/185,597.14
  6. Step 6: Final answer
    x = 138,985.97

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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.