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Finding the Fourth Proportional to 175,024.80, 262,537.20 and 162,583.20

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Solution

The fourth proportional to 175,024.80, 262,537.20 and 162,583.20 is: 243,874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,024.80 : 262,537.20 = 162,583.20 : x
  2. Step 2: Convert to fraction form
    175,024.80/262,537.20 = 162,583.20/x
  3. Step 3: Cross multiply
    175,024.80x = 262,537.20 × 162,583.20
  4. Step 4: Simplify right side
    175,024.80x = 42,684,138,095.04
  5. Step 5: Solve for x
    x = 42,684,138,095.04/175,024.80
  6. Step 6: Final answer
    x = 243,874.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.