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Finding the Fourth Proportional to 234,940, 324,094.68 and 144,316.38

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Solution

The fourth proportional to 234,940, 324,094.68 and 144,316.38 is: 199,081.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,940 : 324,094.68 = 144,316.38 : x
  2. Step 2: Convert to fraction form
    234,940/324,094.68 = 144,316.38/x
  3. Step 3: Cross multiply
    234,940x = 324,094.68 × 144,316.38
  4. Step 4: Simplify right side
    234,940x = 46,772,170,994.86
  5. Step 5: Solve for x
    x = 46,772,170,994.86/234,940
  6. Step 6: Final answer
    x = 199,081.34

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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.