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Finding the Fourth Proportional to 518,070, 777,149.01 and 144,093

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Solution

The fourth proportional to 518,070, 777,149.01 and 144,093 is: 216,151.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,070 : 777,149.01 = 144,093 : x
  2. Step 2: Convert to fraction form
    518,070/777,149.01 = 144,093/x
  3. Step 3: Cross multiply
    518,070x = 777,149.01 × 144,093
  4. Step 4: Simplify right side
    518,070x = 111,981,732,297.93
  5. Step 5: Solve for x
    x = 111,981,732,297.93/518,070
  6. Step 6: Final answer
    x = 216,151.74

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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.