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Finding the Fourth Proportional to 150,597.84, 208,041.24 and 120,343.44

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Solution

The fourth proportional to 150,597.84, 208,041.24 and 120,343.44 is: 166,246.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,597.84 : 208,041.24 = 120,343.44 : x
  2. Step 2: Convert to fraction form
    150,597.84/208,041.24 = 120,343.44/x
  3. Step 3: Cross multiply
    150,597.84x = 208,041.24 × 120,343.44
  4. Step 4: Simplify right side
    150,597.84x = 25,036,398,483.47
  5. Step 5: Solve for x
    x = 25,036,398,483.47/150,597.84
  6. Step 6: Final answer
    x = 166,246.73

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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.