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Finding the Fourth Proportional to 265,237, 366,027.78 and 146,005

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Solution

The fourth proportional to 265,237, 366,027.78 and 146,005 is: 201,487.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,237 : 366,027.78 = 146,005 : x
  2. Step 2: Convert to fraction form
    265,237/366,027.78 = 146,005/x
  3. Step 3: Cross multiply
    265,237x = 366,027.78 × 146,005
  4. Step 4: Simplify right side
    265,237x = 53,441,886,018.90
  5. Step 5: Solve for x
    x = 53,441,886,018.90/265,237
  6. Step 6: Final answer
    x = 201,487.30

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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.