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Finding the Fourth Proportional to 212,827.68, 319,241.52 and 72,587.52

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Solution

The fourth proportional to 212,827.68, 319,241.52 and 72,587.52 is: 108,881.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,827.68 : 319,241.52 = 72,587.52 : x
  2. Step 2: Convert to fraction form
    212,827.68/319,241.52 = 72,587.52/x
  3. Step 3: Cross multiply
    212,827.68x = 319,241.52 × 72,587.52
  4. Step 4: Simplify right side
    212,827.68x = 23,172,950,217.83
  5. Step 5: Solve for x
    x = 23,172,950,217.83/212,827.68
  6. Step 6: Final answer
    x = 108,881.28

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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.