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Finding the Fourth Proportional to 267,830.16, 401,768.82 and 99,352.32

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Solution

The fourth proportional to 267,830.16, 401,768.82 and 99,352.32 is: 149,037.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,830.16 : 401,768.82 = 99,352.32 : x
  2. Step 2: Convert to fraction form
    267,830.16/401,768.82 = 99,352.32/x
  3. Step 3: Cross multiply
    267,830.16x = 401,768.82 × 99,352.32
  4. Step 4: Simplify right side
    267,830.16x = 39,916,664,370.66
  5. Step 5: Solve for x
    x = 39,916,664,370.66/267,830.16
  6. Step 6: Final answer
    x = 149,037.23

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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.