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Finding the Fourth Proportional to 267,269.78, 368,816.46 and 146,387

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Solution

The fourth proportional to 267,269.78, 368,816.46 and 146,387 is: 202,005.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,269.78 : 368,816.46 = 146,387 : x
  2. Step 2: Convert to fraction form
    267,269.78/368,816.46 = 146,387/x
  3. Step 3: Cross multiply
    267,269.78x = 368,816.46 × 146,387
  4. Step 4: Simplify right side
    267,269.78x = 53,989,935,130.02
  5. Step 5: Solve for x
    x = 53,989,935,130.02/267,269.78
  6. Step 6: Final answer
    x = 202,005.39

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1.5x scale

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.