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Finding the Fourth Proportional to 99,842.25, 137,782.54 and 54,520.32

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Solution

The fourth proportional to 99,842.25, 137,782.54 and 54,520.32 is: 75,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,842.25 : 137,782.54 = 54,520.32 : x
  2. Step 2: Convert to fraction form
    99,842.25/137,782.54 = 54,520.32/x
  3. Step 3: Cross multiply
    99,842.25x = 137,782.54 × 54,520.32
  4. Step 4: Simplify right side
    99,842.25x = 7,511,948,307.51
  5. Step 5: Solve for x
    x = 7,511,948,307.51/99,842.25
  6. Step 6: Final answer
    x = 75,238.17

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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.