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Finding the Fourth Proportional to 267,101.35, 368,599.88 and 146,242.64

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Solution

The fourth proportional to 267,101.35, 368,599.88 and 146,242.64 is: 201,814.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,101.35 : 368,599.88 = 146,242.64 : x
  2. Step 2: Convert to fraction form
    267,101.35/368,599.88 = 146,242.64/x
  3. Step 3: Cross multiply
    267,101.35x = 368,599.88 × 146,242.64
  4. Step 4: Simplify right side
    267,101.35x = 53,905,019,554.88
  5. Step 5: Solve for x
    x = 53,905,019,554.88/267,101.35
  6. Step 6: Final answer
    x = 201,814.85

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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.