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Finding the Fourth Proportional to 114,497.72, 171,605.30 and 83,015.86

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Solution

The fourth proportional to 114,497.72, 171,605.30 and 83,015.86 is: 124,421.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,497.72 : 171,605.30 = 83,015.86 : x
  2. Step 2: Convert to fraction form
    114,497.72/171,605.30 = 83,015.86/x
  3. Step 3: Cross multiply
    114,497.72x = 171,605.30 × 83,015.86
  4. Step 4: Simplify right side
    114,497.72x = 14,245,961,560.06
  5. Step 5: Solve for x
    x = 14,245,961,560.06/114,497.72
  6. Step 6: Final answer
    x = 124,421.36

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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.