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Finding the Fourth Proportional to 264,493.68, 365,054.22 and 157,123.32

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Solution

The fourth proportional to 264,493.68, 365,054.22 and 157,123.32 is: 216,861.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,493.68 : 365,054.22 = 157,123.32 : x
  2. Step 2: Convert to fraction form
    264,493.68/365,054.22 = 157,123.32/x
  3. Step 3: Cross multiply
    264,493.68x = 365,054.22 × 157,123.32
  4. Step 4: Simplify right side
    264,493.68x = 57,358,531,026.41
  5. Step 5: Solve for x
    x = 57,358,531,026.41/264,493.68
  6. Step 6: Final answer
    x = 216,861.63

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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.