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Finding the Fourth Proportional to 265,712, 366,664.16 and 149,442.88

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Solution

The fourth proportional to 265,712, 366,664.16 and 149,442.88 is: 206,220.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,712 : 366,664.16 = 149,442.88 : x
  2. Step 2: Convert to fraction form
    265,712/366,664.16 = 149,442.88/x
  3. Step 3: Cross multiply
    265,712x = 366,664.16 × 149,442.88
  4. Step 4: Simplify right side
    265,712x = 54,795,348,063.18
  5. Step 5: Solve for x
    x = 54,795,348,063.18/265,712
  6. Step 6: Final answer
    x = 206,220.83

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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.