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Finding the Fourth Proportional to 185,980.94, 256,655.17 and 101,097.78

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Solution

The fourth proportional to 185,980.94, 256,655.17 and 101,097.78 is: 139,515.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,980.94 : 256,655.17 = 101,097.78 : x
  2. Step 2: Convert to fraction form
    185,980.94/256,655.17 = 101,097.78/x
  3. Step 3: Cross multiply
    185,980.94x = 256,655.17 × 101,097.78
  4. Step 4: Simplify right side
    185,980.94x = 25,947,267,912.52
  5. Step 5: Solve for x
    x = 25,947,267,912.52/185,980.94
  6. Step 6: Final answer
    x = 139,515.74

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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.