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Finding the Fourth Proportional to 272,727.83, 408,807.36 and 152,608.68

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Solution

The fourth proportional to 272,727.83, 408,807.36 and 152,608.68 is: 228,753.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,727.83 : 408,807.36 = 152,608.68 : x
  2. Step 2: Convert to fraction form
    272,727.83/408,807.36 = 152,608.68/x
  3. Step 3: Cross multiply
    272,727.83x = 408,807.36 × 152,608.68
  4. Step 4: Simplify right side
    272,727.83x = 62,387,551,583.88
  5. Step 5: Solve for x
    x = 62,387,551,583.88/272,727.83
  6. Step 6: Final answer
    x = 228,753.89

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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.