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Finding the Fourth Proportional to 150,588, 207,811.80 and 83,532.96

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Solution

The fourth proportional to 150,588, 207,811.80 and 83,532.96 is: 115,275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,588 : 207,811.80 = 83,532.96 : x
  2. Step 2: Convert to fraction form
    150,588/207,811.80 = 83,532.96/x
  3. Step 3: Cross multiply
    150,588x = 207,811.80 × 83,532.96
  4. Step 4: Simplify right side
    150,588x = 17,359,134,776.93
  5. Step 5: Solve for x
    x = 17,359,134,776.93/150,588
  6. Step 6: Final answer
    x = 115,275.68

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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.