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Finding the Fourth Proportional to 150,836.99, 207,984.47 and 96,317.47

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Solution

The fourth proportional to 150,836.99, 207,984.47 and 96,317.47 is: 132,809.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,836.99 : 207,984.47 = 96,317.47 : x
  2. Step 2: Convert to fraction form
    150,836.99/207,984.47 = 96,317.47/x
  3. Step 3: Cross multiply
    150,836.99x = 207,984.47 × 96,317.47
  4. Step 4: Simplify right side
    150,836.99x = 20,032,538,539.28
  5. Step 5: Solve for x
    x = 20,032,538,539.28/150,836.99
  6. Step 6: Final answer
    x = 132,809.19

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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.