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Finding the Fourth Proportional to 267,023, 368,492.10 and 166,421

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Solution

The fourth proportional to 267,023, 368,492.10 and 166,421 is: 229,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,023 : 368,492.10 = 166,421 : x
  2. Step 2: Convert to fraction form
    267,023/368,492.10 = 166,421/x
  3. Step 3: Cross multiply
    267,023x = 368,492.10 × 166,421
  4. Step 4: Simplify right side
    267,023x = 61,324,823,774.10
  5. Step 5: Solve for x
    x = 61,324,823,774.10/267,023
  6. Step 6: Final answer
    x = 229,661.20

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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.