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Finding the Fourth Proportional to 206,012.78, 284,326.44 and 148,837.14

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Solution

The fourth proportional to 206,012.78, 284,326.44 and 148,837.14 is: 205,416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,012.78 : 284,326.44 = 148,837.14 : x
  2. Step 2: Convert to fraction form
    206,012.78/284,326.44 = 148,837.14/x
  3. Step 3: Cross multiply
    206,012.78x = 284,326.44 × 148,837.14
  4. Step 4: Simplify right side
    206,012.78x = 42,318,334,155.98
  5. Step 5: Solve for x
    x = 42,318,334,155.98/206,012.78
  6. Step 6: Final answer
    x = 205,416.06

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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.