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Finding the Fourth Proportional to 185,509.49, 256,003.70 and 100,627.16

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Solution

The fourth proportional to 185,509.49, 256,003.70 and 100,627.16 is: 138,865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,509.49 : 256,003.70 = 100,627.16 : x
  2. Step 2: Convert to fraction form
    185,509.49/256,003.70 = 100,627.16/x
  3. Step 3: Cross multiply
    185,509.49x = 256,003.70 × 100,627.16
  4. Step 4: Simplify right side
    185,509.49x = 25,760,923,497.34
  5. Step 5: Solve for x
    x = 25,760,923,497.34/185,509.49
  6. Step 6: Final answer
    x = 138,865.80

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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.