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Finding the Fourth Proportional to 232,742, 349,113 and 84,998

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Solution

The fourth proportional to 232,742, 349,113 and 84,998 is: 127,497

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,742 : 349,113 = 84,998 : x
  2. Step 2: Convert to fraction form
    232,742/349,113 = 84,998/x
  3. Step 3: Cross multiply
    232,742x = 349,113 × 84,998
  4. Step 4: Simplify right side
    232,742x = 29,673,906,774
  5. Step 5: Solve for x
    x = 29,673,906,774/232,742
  6. Step 6: Final answer
    x = 127,497

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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.