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Finding the Fourth Proportional to 232,137, 320,349.06 and 126,153

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Solution

The fourth proportional to 232,137, 320,349.06 and 126,153 is: 174,091.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,137 : 320,349.06 = 126,153 : x
  2. Step 2: Convert to fraction form
    232,137/320,349.06 = 126,153/x
  3. Step 3: Cross multiply
    232,137x = 320,349.06 × 126,153
  4. Step 4: Simplify right side
    232,137x = 40,412,994,966.18
  5. Step 5: Solve for x
    x = 40,412,994,966.18/232,137
  6. Step 6: Final answer
    x = 174,091.14

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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.