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Finding the Fourth Proportional to 251,006.34, 346,260.42 and 160,266.90

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Solution

The fourth proportional to 251,006.34, 346,260.42 and 160,266.90 is: 221,086.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,006.34 : 346,260.42 = 160,266.90 : x
  2. Step 2: Convert to fraction form
    251,006.34/346,260.42 = 160,266.90/x
  3. Step 3: Cross multiply
    251,006.34x = 346,260.42 × 160,266.90
  4. Step 4: Simplify right side
    251,006.34x = 55,494,084,106.10
  5. Step 5: Solve for x
    x = 55,494,084,106.10/251,006.34
  6. Step 6: Final answer
    x = 221,086.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.