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Finding the Fourth Proportional to 234,875.98, 324,124.60 and 142,961.98

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Solution

The fourth proportional to 234,875.98, 324,124.60 and 142,961.98 is: 197,284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,875.98 : 324,124.60 = 142,961.98 : x
  2. Step 2: Convert to fraction form
    234,875.98/324,124.60 = 142,961.98/x
  3. Step 3: Cross multiply
    234,875.98x = 324,124.60 × 142,961.98
  4. Step 4: Simplify right side
    234,875.98x = 46,337,494,582.71
  5. Step 5: Solve for x
    x = 46,337,494,582.71/234,875.98
  6. Step 6: Final answer
    x = 197,284.94

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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.