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Finding the Fourth Proportional to 232,994.34, 349,624.25 and 90,821.12

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Solution

The fourth proportional to 232,994.34, 349,624.25 and 90,821.12 is: 136,283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,994.34 : 349,624.25 = 90,821.12 : x
  2. Step 2: Convert to fraction form
    232,994.34/349,624.25 = 90,821.12/x
  3. Step 3: Cross multiply
    232,994.34x = 349,624.25 × 90,821.12
  4. Step 4: Simplify right side
    232,994.34x = 31,753,264,102.51
  5. Step 5: Solve for x
    x = 31,753,264,102.51/232,994.34
  6. Step 6: Final answer
    x = 136,283.41

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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.