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Finding the Fourth Proportional to 193,369, 290,053.50 and 68,714.92

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Solution

The fourth proportional to 193,369, 290,053.50 and 68,714.92 is: 103,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,369 : 290,053.50 = 68,714.92 : x
  2. Step 2: Convert to fraction form
    193,369/290,053.50 = 68,714.92/x
  3. Step 3: Cross multiply
    193,369x = 290,053.50 × 68,714.92
  4. Step 4: Simplify right side
    193,369x = 19,931,003,048.22
  5. Step 5: Solve for x
    x = 19,931,003,048.22/193,369
  6. Step 6: Final answer
    x = 103,072.38

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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.