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Finding the Fourth Proportional to 265,740, 366,721.20 and 146,508

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Solution

The fourth proportional to 265,740, 366,721.20 and 146,508 is: 202,181.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,740 : 366,721.20 = 146,508 : x
  2. Step 2: Convert to fraction form
    265,740/366,721.20 = 146,508/x
  3. Step 3: Cross multiply
    265,740x = 366,721.20 × 146,508
  4. Step 4: Simplify right side
    265,740x = 53,727,589,569.60
  5. Step 5: Solve for x
    x = 53,727,589,569.60/265,740
  6. Step 6: Final answer
    x = 202,181.04

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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.