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Finding the Fourth Proportional to 338,875.17, 508,165.10 and 114,193.73

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Solution

The fourth proportional to 338,875.17, 508,165.10 and 114,193.73 is: 171,240.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,875.17 : 508,165.10 = 114,193.73 : x
  2. Step 2: Convert to fraction form
    338,875.17/508,165.10 = 114,193.73/x
  3. Step 3: Cross multiply
    338,875.17x = 508,165.10 × 114,193.73
  4. Step 4: Simplify right side
    338,875.17x = 58,029,265,541.26
  5. Step 5: Solve for x
    x = 58,029,265,541.26/338,875.17
  6. Step 6: Final answer
    x = 171,240.83

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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.