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Finding the Fourth Proportional to 251,704.71, 377,467.16 and 83,193.93

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Solution

The fourth proportional to 251,704.71, 377,467.16 and 83,193.93 is: 124,761.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,704.71 : 377,467.16 = 83,193.93 : x
  2. Step 2: Convert to fraction form
    251,704.71/377,467.16 = 83,193.93/x
  3. Step 3: Cross multiply
    251,704.71x = 377,467.16 × 83,193.93
  4. Step 4: Simplify right side
    251,704.71x = 31,402,976,070.37
  5. Step 5: Solve for x
    x = 31,402,976,070.37/251,704.71
  6. Step 6: Final answer
    x = 124,761.18

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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.