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Finding the Fourth Proportional to 204,807.98, 282,600.74 and 114,144.08

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Solution

The fourth proportional to 204,807.98, 282,600.74 and 114,144.08 is: 157,499.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,807.98 : 282,600.74 = 114,144.08 : x
  2. Step 2: Convert to fraction form
    204,807.98/282,600.74 = 114,144.08/x
  3. Step 3: Cross multiply
    204,807.98x = 282,600.74 × 114,144.08
  4. Step 4: Simplify right side
    204,807.98x = 32,257,199,490.90
  5. Step 5: Solve for x
    x = 32,257,199,490.90/204,807.98
  6. Step 6: Final answer
    x = 157,499.72

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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.