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Finding the Fourth Proportional to 253,809.78, 350,294.79 and 146,358.82

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Solution

The fourth proportional to 253,809.78, 350,294.79 and 146,358.82 is: 201,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,809.78 : 350,294.79 = 146,358.82 : x
  2. Step 2: Convert to fraction form
    253,809.78/350,294.79 = 146,358.82/x
  3. Step 3: Cross multiply
    253,809.78x = 350,294.79 × 146,358.82
  4. Step 4: Simplify right side
    253,809.78x = 51,268,732,116.55
  5. Step 5: Solve for x
    x = 51,268,732,116.55/253,809.78
  6. Step 6: Final answer
    x = 201,996.68

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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.