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Finding the Fourth Proportional to 174,902, 262,397.28 and 50,243

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Solution

The fourth proportional to 174,902, 262,397.28 and 50,243 is: 75,377.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,902 : 262,397.28 = 50,243 : x
  2. Step 2: Convert to fraction form
    174,902/262,397.28 = 50,243/x
  3. Step 3: Cross multiply
    174,902x = 262,397.28 × 50,243
  4. Step 4: Simplify right side
    174,902x = 13,183,626,539.04
  5. Step 5: Solve for x
    x = 13,183,626,539.04/174,902
  6. Step 6: Final answer
    x = 75,377.22

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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.