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Finding the Fourth Proportional to 145,111.64, 217,585.78 and 50,297.40

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Solution

The fourth proportional to 145,111.64, 217,585.78 and 50,297.40 is: 75,417.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,111.64 : 217,585.78 = 50,297.40 : x
  2. Step 2: Convert to fraction form
    145,111.64/217,585.78 = 50,297.40/x
  3. Step 3: Cross multiply
    145,111.64x = 217,585.78 × 50,297.40
  4. Step 4: Simplify right side
    145,111.64x = 10,943,999,010.97
  5. Step 5: Solve for x
    x = 10,943,999,010.97/145,111.64
  6. Step 6: Final answer
    x = 75,417.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.