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Finding the Fourth Proportional to 265,192.66, 397,155.82 and 152,636.28

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Solution

The fourth proportional to 265,192.66, 397,155.82 and 152,636.28 is: 228,589.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,192.66 : 397,155.82 = 152,636.28 : x
  2. Step 2: Convert to fraction form
    265,192.66/397,155.82 = 152,636.28/x
  3. Step 3: Cross multiply
    265,192.66x = 397,155.82 × 152,636.28
  4. Step 4: Simplify right side
    265,192.66x = 60,620,386,181.97
  5. Step 5: Solve for x
    x = 60,620,386,181.97/265,192.66
  6. Step 6: Final answer
    x = 228,589.99

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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.