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Finding the Fourth Proportional to 114,442.70, 171,664.05 and 72,452.30

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Solution

The fourth proportional to 114,442.70, 171,664.05 and 72,452.30 is: 108,678.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,442.70 : 171,664.05 = 72,452.30 : x
  2. Step 2: Convert to fraction form
    114,442.70/171,664.05 = 72,452.30/x
  3. Step 3: Cross multiply
    114,442.70x = 171,664.05 × 72,452.30
  4. Step 4: Simplify right side
    114,442.70x = 12,437,455,249.82
  5. Step 5: Solve for x
    x = 12,437,455,249.82/114,442.70
  6. Step 6: Final answer
    x = 108,678.45

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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.