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Finding the Fourth Proportional to 146,087.32, 219,482.13 and 138,022.30

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Solution

The fourth proportional to 146,087.32, 219,482.13 and 138,022.30 is: 207,365.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,087.32 : 219,482.13 = 138,022.30 : x
  2. Step 2: Convert to fraction form
    146,087.32/219,482.13 = 138,022.30/x
  3. Step 3: Cross multiply
    146,087.32x = 219,482.13 × 138,022.30
  4. Step 4: Simplify right side
    146,087.32x = 30,293,428,187.85
  5. Step 5: Solve for x
    x = 30,293,428,187.85/146,087.32
  6. Step 6: Final answer
    x = 207,365.22

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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.