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Finding the Fourth Proportional to 202,794.96, 304,036.92 and 123,946.32

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Solution

The fourth proportional to 202,794.96, 304,036.92 and 123,946.32 is: 185,824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,794.96 : 304,036.92 = 123,946.32 : x
  2. Step 2: Convert to fraction form
    202,794.96/304,036.92 = 123,946.32/x
  3. Step 3: Cross multiply
    202,794.96x = 304,036.92 × 123,946.32
  4. Step 4: Simplify right side
    202,794.96x = 37,684,257,378.13
  5. Step 5: Solve for x
    x = 37,684,257,378.13/202,794.96
  6. Step 6: Final answer
    x = 185,824.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.