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Finding the Fourth Proportional to 150,993.76, 208,366.14 and 97,281.04

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Solution

The fourth proportional to 150,993.76, 208,366.14 and 97,281.04 is: 134,244.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,993.76 : 208,366.14 = 97,281.04 : x
  2. Step 2: Convert to fraction form
    150,993.76/208,366.14 = 97,281.04/x
  3. Step 3: Cross multiply
    150,993.76x = 208,366.14 × 97,281.04
  4. Step 4: Simplify right side
    150,993.76x = 20,270,074,799.99
  5. Step 5: Solve for x
    x = 20,270,074,799.99/150,993.76
  6. Step 6: Final answer
    x = 134,244.45

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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.