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Finding the Fourth Proportional to 160,098.30, 240,120.12 and 53,467.50

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Solution

The fourth proportional to 160,098.30, 240,120.12 and 53,467.50 is: 80,192.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,098.30 : 240,120.12 = 53,467.50 : x
  2. Step 2: Convert to fraction form
    160,098.30/240,120.12 = 53,467.50/x
  3. Step 3: Cross multiply
    160,098.30x = 240,120.12 × 53,467.50
  4. Step 4: Simplify right side
    160,098.30x = 12,838,622,516.10
  5. Step 5: Solve for x
    x = 12,838,622,516.10/160,098.30
  6. Step 6: Final answer
    x = 80,192.12

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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.