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Finding the Fourth Proportional to 267,820.66, 401,754.57 and 99,342.82

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Solution

The fourth proportional to 267,820.66, 401,754.57 and 99,342.82 is: 149,022.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,820.66 : 401,754.57 = 99,342.82 : x
  2. Step 2: Convert to fraction form
    267,820.66/401,754.57 = 99,342.82/x
  3. Step 3: Cross multiply
    267,820.66x = 401,754.57 × 99,342.82
  4. Step 4: Simplify right side
    267,820.66x = 39,911,431,931.69
  5. Step 5: Solve for x
    x = 39,911,431,931.69/267,820.66
  6. Step 6: Final answer
    x = 149,022.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.