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Finding the Fourth Proportional to 225,289, 337,933.50 and 59,077

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Solution

The fourth proportional to 225,289, 337,933.50 and 59,077 is: 88,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,289 : 337,933.50 = 59,077 : x
  2. Step 2: Convert to fraction form
    225,289/337,933.50 = 59,077/x
  3. Step 3: Cross multiply
    225,289x = 337,933.50 × 59,077
  4. Step 4: Simplify right side
    225,289x = 19,964,097,379.50
  5. Step 5: Solve for x
    x = 19,964,097,379.50/225,289
  6. Step 6: Final answer
    x = 88,615.50

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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.