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Finding the Fourth Proportional to 267,514.54, 369,193.36 and 146,678.88

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Solution

The fourth proportional to 267,514.54, 369,193.36 and 146,678.88 is: 202,429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,514.54 : 369,193.36 = 146,678.88 : x
  2. Step 2: Convert to fraction form
    267,514.54/369,193.36 = 146,678.88/x
  3. Step 3: Cross multiply
    267,514.54x = 369,193.36 × 146,678.88
  4. Step 4: Simplify right side
    267,514.54x = 54,152,868,548.24
  5. Step 5: Solve for x
    x = 54,152,868,548.24/267,514.54
  6. Step 6: Final answer
    x = 202,429.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.