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Finding the Fourth Proportional to 170,830.32, 256,246.92 and 157,974

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Solution

The fourth proportional to 170,830.32, 256,246.92 and 157,974 is: 236,962.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,830.32 : 256,246.92 = 157,974 : x
  2. Step 2: Convert to fraction form
    170,830.32/256,246.92 = 157,974/x
  3. Step 3: Cross multiply
    170,830.32x = 256,246.92 × 157,974
  4. Step 4: Simplify right side
    170,830.32x = 40,480,350,940.08
  5. Step 5: Solve for x
    x = 40,480,350,940.08/170,830.32
  6. Step 6: Final answer
    x = 236,962.33

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