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Finding the Fourth Proportional to 281,842.32, 388,923 and 167,115.12

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Solution

The fourth proportional to 281,842.32, 388,923 and 167,115.12 is: 230,607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,842.32 : 388,923 = 167,115.12 : x
  2. Step 2: Convert to fraction form
    281,842.32/388,923 = 167,115.12/x
  3. Step 3: Cross multiply
    281,842.32x = 388,923 × 167,115.12
  4. Step 4: Simplify right side
    281,842.32x = 64,994,913,815.76
  5. Step 5: Solve for x
    x = 64,994,913,815.76/281,842.32
  6. Step 6: Final answer
    x = 230,607.36

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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.