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Finding the Fourth Proportional to 285,189.19, 428,204.32 and 159,075.83

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Solution

The fourth proportional to 285,189.19, 428,204.32 and 159,075.83 is: 238,848.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,189.19 : 428,204.32 = 159,075.83 : x
  2. Step 2: Convert to fraction form
    285,189.19/428,204.32 = 159,075.83/x
  3. Step 3: Cross multiply
    285,189.19x = 428,204.32 × 159,075.83
  4. Step 4: Simplify right side
    285,189.19x = 68,116,959,181.21
  5. Step 5: Solve for x
    x = 68,116,959,181.21/285,189.19
  6. Step 6: Final answer
    x = 238,848.32

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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.