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Finding the Fourth Proportional to 251,335.46, 346,834.14 and 138,157.40

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Solution

The fourth proportional to 251,335.46, 346,834.14 and 138,157.40 is: 190,652.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,335.46 : 346,834.14 = 138,157.40 : x
  2. Step 2: Convert to fraction form
    251,335.46/346,834.14 = 138,157.40/x
  3. Step 3: Cross multiply
    251,335.46x = 346,834.14 × 138,157.40
  4. Step 4: Simplify right side
    251,335.46x = 47,917,701,279.47
  5. Step 5: Solve for x
    x = 47,917,701,279.47/251,335.46
  6. Step 6: Final answer
    x = 190,652.37

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