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Finding the Fourth Proportional to 161,807.67, 242,743.37 and 49,503.96

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Solution

The fourth proportional to 161,807.67, 242,743.37 and 49,503.96 is: 74,265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,807.67 : 242,743.37 = 49,503.96 : x
  2. Step 2: Convert to fraction form
    161,807.67/242,743.37 = 49,503.96/x
  3. Step 3: Cross multiply
    161,807.67x = 242,743.37 × 49,503.96
  4. Step 4: Simplify right side
    161,807.67x = 12,016,757,831.23
  5. Step 5: Solve for x
    x = 12,016,757,831.23/161,807.67
  6. Step 6: Final answer
    x = 74,265.69

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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.