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Finding the Fourth Proportional to 272,896.87, 409,345.32 and 83,349.58

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Solution

The fourth proportional to 272,896.87, 409,345.32 and 83,349.58 is: 125,024.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,896.87 : 409,345.32 = 83,349.58 : x
  2. Step 2: Convert to fraction form
    272,896.87/409,345.32 = 83,349.58/x
  3. Step 3: Cross multiply
    272,896.87x = 409,345.32 × 83,349.58
  4. Step 4: Simplify right side
    272,896.87x = 34,118,760,496.97
  5. Step 5: Solve for x
    x = 34,118,760,496.97/272,896.87
  6. Step 6: Final answer
    x = 125,024.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.