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Finding the Fourth Proportional to 150,325.86, 207,455.13 and 83,257.86

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Solution

The fourth proportional to 150,325.86, 207,455.13 and 83,257.86 is: 114,898.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,325.86 : 207,455.13 = 83,257.86 : x
  2. Step 2: Convert to fraction form
    150,325.86/207,455.13 = 83,257.86/x
  3. Step 3: Cross multiply
    150,325.86x = 207,455.13 × 83,257.86
  4. Step 4: Simplify right side
    150,325.86x = 17,272,270,169.82
  5. Step 5: Solve for x
    x = 17,272,270,169.82/150,325.86
  6. Step 6: Final answer
    x = 114,898.86

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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.