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Finding the Fourth Proportional to 251,465.40, 347,015.32 and 138,288.14

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Solution

The fourth proportional to 251,465.40, 347,015.32 and 138,288.14 is: 190,833.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,465.40 : 347,015.32 = 138,288.14 : x
  2. Step 2: Convert to fraction form
    251,465.40/347,015.32 = 138,288.14/x
  3. Step 3: Cross multiply
    251,465.40x = 347,015.32 × 138,288.14
  4. Step 4: Simplify right side
    251,465.40x = 47,988,103,154.30
  5. Step 5: Solve for x
    x = 47,988,103,154.30/251,465.40
  6. Step 6: Final answer
    x = 190,833.82

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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.