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Finding the Fourth Proportional to 193,337.52, 289,967.68 and 65,241.28

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Solution

The fourth proportional to 193,337.52, 289,967.68 and 65,241.28 is: 97,848.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,337.52 : 289,967.68 = 65,241.28 : x
  2. Step 2: Convert to fraction form
    193,337.52/289,967.68 = 65,241.28/x
  3. Step 3: Cross multiply
    193,337.52x = 289,967.68 × 65,241.28
  4. Step 4: Simplify right side
    193,337.52x = 18,917,863,045.84
  5. Step 5: Solve for x
    x = 18,917,863,045.84/193,337.52
  6. Step 6: Final answer
    x = 97,848.90

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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.