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Finding the Fourth Proportional to 232,618.56, 349,031.52 and 84,840

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Solution

The fourth proportional to 232,618.56, 349,031.52 and 84,840 is: 127,297.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,618.56 : 349,031.52 = 84,840 : x
  2. Step 2: Convert to fraction form
    232,618.56/349,031.52 = 84,840/x
  3. Step 3: Cross multiply
    232,618.56x = 349,031.52 × 84,840
  4. Step 4: Simplify right side
    232,618.56x = 29,611,834,156.80
  5. Step 5: Solve for x
    x = 29,611,834,156.80/232,618.56
  6. Step 6: Final answer
    x = 127,297.81

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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.