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Finding the Fourth Proportional to 266,872.38, 368,280.60 and 146,012.16

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Solution

The fourth proportional to 266,872.38, 368,280.60 and 146,012.16 is: 201,494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,872.38 : 368,280.60 = 146,012.16 : x
  2. Step 2: Convert to fraction form
    266,872.38/368,280.60 = 146,012.16/x
  3. Step 3: Cross multiply
    266,872.38x = 368,280.60 × 146,012.16
  4. Step 4: Simplify right side
    266,872.38x = 53,773,445,892.10
  5. Step 5: Solve for x
    x = 53,773,445,892.10/266,872.38
  6. Step 6: Final answer
    x = 201,494.98

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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.