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Finding the Fourth Proportional to 185,897.50, 256,540.16 and 101,014.56

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Solution

The fourth proportional to 185,897.50, 256,540.16 and 101,014.56 is: 139,400.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,897.50 : 256,540.16 = 101,014.56 : x
  2. Step 2: Convert to fraction form
    185,897.50/256,540.16 = 101,014.56/x
  3. Step 3: Cross multiply
    185,897.50x = 256,540.16 × 101,014.56
  4. Step 4: Simplify right side
    185,897.50x = 25,914,291,637.27
  5. Step 5: Solve for x
    x = 25,914,291,637.27/185,897.50
  6. Step 6: Final answer
    x = 139,400.97

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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.