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Finding the Fourth Proportional to 157,396.41, 217,200.74 and 85,774.91

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Solution

The fourth proportional to 157,396.41, 217,200.74 and 85,774.91 is: 118,365.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,396.41 : 217,200.74 = 85,774.91 : x
  2. Step 2: Convert to fraction form
    157,396.41/217,200.74 = 85,774.91/x
  3. Step 3: Cross multiply
    157,396.41x = 217,200.74 × 85,774.91
  4. Step 4: Simplify right side
    157,396.41x = 18,630,372,410.56
  5. Step 5: Solve for x
    x = 18,630,372,410.56/157,396.41
  6. Step 6: Final answer
    x = 118,365.93

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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.