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Finding the Fourth Proportional to 150,814.40, 208,071.77 and 96,398.40

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Solution

The fourth proportional to 150,814.40, 208,071.77 and 96,398.40 is: 132,996.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,814.40 : 208,071.77 = 96,398.40 : x
  2. Step 2: Convert to fraction form
    150,814.40/208,071.77 = 96,398.40/x
  3. Step 3: Cross multiply
    150,814.40x = 208,071.77 × 96,398.40
  4. Step 4: Simplify right side
    150,814.40x = 20,057,785,231.18
  5. Step 5: Solve for x
    x = 20,057,785,231.18/150,814.40
  6. Step 6: Final answer
    x = 132,996.49

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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.