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Finding the Fourth Proportional to 265,841, 366,860.58 and 146,609

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Solution

The fourth proportional to 265,841, 366,860.58 and 146,609 is: 202,320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,841 : 366,860.58 = 146,609 : x
  2. Step 2: Convert to fraction form
    265,841/366,860.58 = 146,609/x
  3. Step 3: Cross multiply
    265,841x = 366,860.58 × 146,609
  4. Step 4: Simplify right side
    265,841x = 53,785,062,773.22
  5. Step 5: Solve for x
    x = 53,785,062,773.22/265,841
  6. Step 6: Final answer
    x = 202,320.42

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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.