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Finding the Fourth Proportional to 265,238, 366,029.16 and 146,006

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Solution

The fourth proportional to 265,238, 366,029.16 and 146,006 is: 201,488.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,238 : 366,029.16 = 146,006 : x
  2. Step 2: Convert to fraction form
    265,238/366,029.16 = 146,006/x
  3. Step 3: Cross multiply
    265,238x = 366,029.16 × 146,006
  4. Step 4: Simplify right side
    265,238x = 53,442,453,534.96
  5. Step 5: Solve for x
    x = 53,442,453,534.96/265,238
  6. Step 6: Final answer
    x = 201,488.68

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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.