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Finding the Fourth Proportional to 251,390.36, 346,920 and 138,220.40

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Solution

The fourth proportional to 251,390.36, 346,920 and 138,220.40 is: 190,744.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,390.36 : 346,920 = 138,220.40 : x
  2. Step 2: Convert to fraction form
    251,390.36/346,920 = 138,220.40/x
  3. Step 3: Cross multiply
    251,390.36x = 346,920 × 138,220.40
  4. Step 4: Simplify right side
    251,390.36x = 47,951,421,168
  5. Step 5: Solve for x
    x = 47,951,421,168/251,390.36
  6. Step 6: Final answer
    x = 190,744.87

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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.