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Finding the Fourth Proportional to 157,384.80, 217,193.40 and 85,764.60

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Solution

The fourth proportional to 157,384.80, 217,193.40 and 85,764.60 is: 118,356.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,384.80 : 217,193.40 = 85,764.60 : x
  2. Step 2: Convert to fraction form
    157,384.80/217,193.40 = 85,764.60/x
  3. Step 3: Cross multiply
    157,384.80x = 217,193.40 × 85,764.60
  4. Step 4: Simplify right side
    157,384.80x = 18,627,505,073.64
  5. Step 5: Solve for x
    x = 18,627,505,073.64/157,384.80
  6. Step 6: Final answer
    x = 118,356.44

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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.