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Finding the Fourth Proportional to 270,509.00, 405,832.71 and 158,283.61

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Solution

The fourth proportional to 270,509.00, 405,832.71 and 158,283.61 is: 237,465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,509.00 : 405,832.71 = 158,283.61 : x
  2. Step 2: Convert to fraction form
    270,509.00/405,832.71 = 158,283.61/x
  3. Step 3: Cross multiply
    270,509.00x = 405,832.71 × 158,283.61
  4. Step 4: Simplify right side
    270,509.00x = 64,236,666,635.80
  5. Step 5: Solve for x
    x = 64,236,666,635.80/270,509.00
  6. Step 6: Final answer
    x = 237,465.91

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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.