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Finding the Fourth Proportional to 129,233.84, 193,852.68 and 34,466

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Solution

The fourth proportional to 129,233.84, 193,852.68 and 34,466 is: 51,699.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,233.84 : 193,852.68 = 34,466 : x
  2. Step 2: Convert to fraction form
    129,233.84/193,852.68 = 34,466/x
  3. Step 3: Cross multiply
    129,233.84x = 193,852.68 × 34,466
  4. Step 4: Simplify right side
    129,233.84x = 6,681,326,468.88
  5. Step 5: Solve for x
    x = 6,681,326,468.88/129,233.84
  6. Step 6: Final answer
    x = 51,699.51

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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.