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Finding the Fourth Proportional to 114,045.87, 171,116.65 and 50,822.44

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Solution

The fourth proportional to 114,045.87, 171,116.65 and 50,822.44 is: 76,254.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,045.87 : 171,116.65 = 50,822.44 : x
  2. Step 2: Convert to fraction form
    114,045.87/171,116.65 = 50,822.44/x
  3. Step 3: Cross multiply
    114,045.87x = 171,116.65 × 50,822.44
  4. Step 4: Simplify right side
    114,045.87x = 8,696,565,313.36
  5. Step 5: Solve for x
    x = 8,696,565,313.36/114,045.87
  6. Step 6: Final answer
    x = 76,254.98

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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.