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Finding the Fourth Proportional to 301,024.14, 415,418.13 and 165,070.50

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Solution

The fourth proportional to 301,024.14, 415,418.13 and 165,070.50 is: 227,799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,024.14 : 415,418.13 = 165,070.50 : x
  2. Step 2: Convert to fraction form
    301,024.14/415,418.13 = 165,070.50/x
  3. Step 3: Cross multiply
    301,024.14x = 415,418.13 × 165,070.50
  4. Step 4: Simplify right side
    301,024.14x = 68,573,278,428.17
  5. Step 5: Solve for x
    x = 68,573,278,428.17/301,024.14
  6. Step 6: Final answer
    x = 227,799.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.