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Finding the Fourth Proportional to 285,152.06, 393,505.08 and 157,824.92

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Solution

The fourth proportional to 285,152.06, 393,505.08 and 157,824.92 is: 217,795.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,152.06 : 393,505.08 = 157,824.92 : x
  2. Step 2: Convert to fraction form
    285,152.06/393,505.08 = 157,824.92/x
  3. Step 3: Cross multiply
    285,152.06x = 393,505.08 × 157,824.92
  4. Step 4: Simplify right side
    285,152.06x = 62,104,907,770.59
  5. Step 5: Solve for x
    x = 62,104,907,770.59/285,152.06
  6. Step 6: Final answer
    x = 217,795.75

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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.