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Finding the Fourth Proportional to 150,891.76, 208,246.44 and 83,823.76

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Solution

The fourth proportional to 150,891.76, 208,246.44 and 83,823.76 is: 115,685.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,891.76 : 208,246.44 = 83,823.76 : x
  2. Step 2: Convert to fraction form
    150,891.76/208,246.44 = 83,823.76/x
  3. Step 3: Cross multiply
    150,891.76x = 208,246.44 × 83,823.76
  4. Step 4: Simplify right side
    150,891.76x = 17,455,999,607.41
  5. Step 5: Solve for x
    x = 17,455,999,607.41/150,891.76
  6. Step 6: Final answer
    x = 115,685.57

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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.