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Finding the Fourth Proportional to 251,043, 346,470.06 and 145,059

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Solution

The fourth proportional to 251,043, 346,470.06 and 145,059 is: 200,199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,043 : 346,470.06 = 145,059 : x
  2. Step 2: Convert to fraction form
    251,043/346,470.06 = 145,059/x
  3. Step 3: Cross multiply
    251,043x = 346,470.06 × 145,059
  4. Step 4: Simplify right side
    251,043x = 50,258,600,433.54
  5. Step 5: Solve for x
    x = 50,258,600,433.54/251,043
  6. Step 6: Final answer
    x = 200,199.17

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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.