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Finding the Fourth Proportional to 213,024.96, 319,493.70 and 100,657.44

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Solution

The fourth proportional to 213,024.96, 319,493.70 and 100,657.44 is: 150,965.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,024.96 : 319,493.70 = 100,657.44 : x
  2. Step 2: Convert to fraction form
    213,024.96/319,493.70 = 100,657.44/x
  3. Step 3: Cross multiply
    213,024.96x = 319,493.70 × 100,657.44
  4. Step 4: Simplify right side
    213,024.96x = 32,159,417,938.13
  5. Step 5: Solve for x
    x = 32,159,417,938.13/213,024.96
  6. Step 6: Final answer
    x = 150,965.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.