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Finding the Fourth Proportional to 193,448.64, 266,824.80 and 157,638.72

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Solution

The fourth proportional to 193,448.64, 266,824.80 and 157,638.72 is: 217,431.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,448.64 : 266,824.80 = 157,638.72 : x
  2. Step 2: Convert to fraction form
    193,448.64/266,824.80 = 157,638.72/x
  3. Step 3: Cross multiply
    193,448.64x = 266,824.80 × 157,638.72
  4. Step 4: Simplify right side
    193,448.64x = 42,061,919,936.26
  5. Step 5: Solve for x
    x = 42,061,919,936.26/193,448.64
  6. Step 6: Final answer
    x = 217,431.98

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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.