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Finding the Fourth Proportional to 265,254.21, 397,954.17 and 78,265.71

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Solution

The fourth proportional to 265,254.21, 397,954.17 and 78,265.71 is: 117,420.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,254.21 : 397,954.17 = 78,265.71 : x
  2. Step 2: Convert to fraction form
    265,254.21/397,954.17 = 78,265.71/x
  3. Step 3: Cross multiply
    265,254.21x = 397,954.17 × 78,265.71
  4. Step 4: Simplify right side
    265,254.21x = 31,146,165,662.51
  5. Step 5: Solve for x
    x = 31,146,165,662.51/265,254.21
  6. Step 6: Final answer
    x = 117,420.06

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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.