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Finding the Fourth Proportional to 146,538.10, 219,807.15 and 137,790.10

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Solution

The fourth proportional to 146,538.10, 219,807.15 and 137,790.10 is: 206,685.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,538.10 : 219,807.15 = 137,790.10 : x
  2. Step 2: Convert to fraction form
    146,538.10/219,807.15 = 137,790.10/x
  3. Step 3: Cross multiply
    146,538.10x = 219,807.15 × 137,790.10
  4. Step 4: Simplify right side
    146,538.10x = 30,287,249,179.22
  5. Step 5: Solve for x
    x = 30,287,249,179.22/146,538.10
  6. Step 6: Final answer
    x = 206,685.15

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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.