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Finding the Fourth Proportional to 114,146.40, 171,219.84 and 61,580.64

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Solution

The fourth proportional to 114,146.40, 171,219.84 and 61,580.64 is: 92,371.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,146.40 : 171,219.84 = 61,580.64 : x
  2. Step 2: Convert to fraction form
    114,146.40/171,219.84 = 61,580.64/x
  3. Step 3: Cross multiply
    114,146.40x = 171,219.84 × 61,580.64
  4. Step 4: Simplify right side
    114,146.40x = 10,543,827,327.90
  5. Step 5: Solve for x
    x = 10,543,827,327.90/114,146.40
  6. Step 6: Final answer
    x = 92,371.09

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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.