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Finding the Fourth Proportional to 160,804.67, 221,924.07 and 89,207.75

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Solution

The fourth proportional to 160,804.67, 221,924.07 and 89,207.75 is: 123,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,804.67 : 221,924.07 = 89,207.75 : x
  2. Step 2: Convert to fraction form
    160,804.67/221,924.07 = 89,207.75/x
  3. Step 3: Cross multiply
    160,804.67x = 221,924.07 × 89,207.75
  4. Step 4: Simplify right side
    160,804.67x = 19,797,346,509.50
  5. Step 5: Solve for x
    x = 19,797,346,509.50/160,804.67
  6. Step 6: Final answer
    x = 123,114.25

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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.