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Finding the Fourth Proportional to 234,238.48, 351,356.54 and 56,745.50

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Solution

The fourth proportional to 234,238.48, 351,356.54 and 56,745.50 is: 85,117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,238.48 : 351,356.54 = 56,745.50 : x
  2. Step 2: Convert to fraction form
    234,238.48/351,356.54 = 56,745.50/x
  3. Step 3: Cross multiply
    234,238.48x = 351,356.54 × 56,745.50
  4. Step 4: Simplify right side
    234,238.48x = 19,937,900,500.06
  5. Step 5: Solve for x
    x = 19,937,900,500.06/234,238.48
  6. Step 6: Final answer
    x = 85,117.96

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Why These Related Problems?

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