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Finding the Fourth Proportional to 185,889.16, 256,527.84 and 101,006.56

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Solution

The fourth proportional to 185,889.16, 256,527.84 and 101,006.56 is: 139,389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,889.16 : 256,527.84 = 101,006.56 : x
  2. Step 2: Convert to fraction form
    185,889.16/256,527.84 = 101,006.56/x
  3. Step 3: Cross multiply
    185,889.16x = 256,527.84 × 101,006.56
  4. Step 4: Simplify right side
    185,889.16x = 25,910,994,662.63
  5. Step 5: Solve for x
    x = 25,910,994,662.63/185,889.16
  6. Step 6: Final answer
    x = 139,389.49

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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.