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Finding the Fourth Proportional to 232,998, 349,408.20 and 83,210.32

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Solution

The fourth proportional to 232,998, 349,408.20 and 83,210.32 is: 124,783.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,998 : 349,408.20 = 83,210.32 : x
  2. Step 2: Convert to fraction form
    232,998/349,408.20 = 83,210.32/x
  3. Step 3: Cross multiply
    232,998x = 349,408.20 × 83,210.32
  4. Step 4: Simplify right side
    232,998x = 29,074,368,132.62
  5. Step 5: Solve for x
    x = 29,074,368,132.62/232,998
  6. Step 6: Final answer
    x = 124,783.77

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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.