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Finding the Fourth Proportional to 226,335.48, 339,494.58 and 76,587

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Solution

The fourth proportional to 226,335.48, 339,494.58 and 76,587 is: 114,877.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,335.48 : 339,494.58 = 76,587 : x
  2. Step 2: Convert to fraction form
    226,335.48/339,494.58 = 76,587/x
  3. Step 3: Cross multiply
    226,335.48x = 339,494.58 × 76,587
  4. Step 4: Simplify right side
    226,335.48x = 26,000,871,398.46
  5. Step 5: Solve for x
    x = 26,000,871,398.46/226,335.48
  6. Step 6: Final answer
    x = 114,877.58

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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.