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Finding the Fourth Proportional to 265,442, 366,309.98 and 146,210

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Solution

The fourth proportional to 265,442, 366,309.98 and 146,210 is: 201,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,442 : 366,309.98 = 146,210 : x
  2. Step 2: Convert to fraction form
    265,442/366,309.98 = 146,210/x
  3. Step 3: Cross multiply
    265,442x = 366,309.98 × 146,210
  4. Step 4: Simplify right side
    265,442x = 53,558,182,175.80
  5. Step 5: Solve for x
    x = 53,558,182,175.80/265,442
  6. Step 6: Final answer
    x = 201,769.81

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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.