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Finding the Fourth Proportional to 150,054, 225,083.16 and 39,246

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Solution

The fourth proportional to 150,054, 225,083.16 and 39,246 is: 58,869.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,054 : 225,083.16 = 39,246 : x
  2. Step 2: Convert to fraction form
    150,054/225,083.16 = 39,246/x
  3. Step 3: Cross multiply
    150,054x = 225,083.16 × 39,246
  4. Step 4: Simplify right side
    150,054x = 8,833,613,697.36
  5. Step 5: Solve for x
    x = 8,833,613,697.36/150,054
  6. Step 6: Final answer
    x = 58,869.56

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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.