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Finding the Fourth Proportional to 266,348, 367,560.24 and 147,123.68

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Solution

The fourth proportional to 266,348, 367,560.24 and 147,123.68 is: 203,030.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,348 : 367,560.24 = 147,123.68 : x
  2. Step 2: Convert to fraction form
    266,348/367,560.24 = 147,123.68/x
  3. Step 3: Cross multiply
    266,348x = 367,560.24 × 147,123.68
  4. Step 4: Simplify right side
    266,348x = 54,076,815,130.48
  5. Step 5: Solve for x
    x = 54,076,815,130.48/266,348
  6. Step 6: Final answer
    x = 203,030.68

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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.