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Finding the Fourth Proportional to 267,822.16, 401,756.82 and 99,344.32

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Solution

The fourth proportional to 267,822.16, 401,756.82 and 99,344.32 is: 149,025.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,822.16 : 401,756.82 = 99,344.32 : x
  2. Step 2: Convert to fraction form
    267,822.16/401,756.82 = 99,344.32/x
  3. Step 3: Cross multiply
    267,822.16x = 401,756.82 × 99,344.32
  4. Step 4: Simplify right side
    267,822.16x = 39,912,258,088.26
  5. Step 5: Solve for x
    x = 39,912,258,088.26/267,822.16
  6. Step 6: Final answer
    x = 149,025.23

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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.