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Finding the Fourth Proportional to 114,264.32, 171,052.02 and 61,513.88

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Solution

The fourth proportional to 114,264.32, 171,052.02 and 61,513.88 is: 92,085.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,264.32 : 171,052.02 = 61,513.88 : x
  2. Step 2: Convert to fraction form
    114,264.32/171,052.02 = 61,513.88/x
  3. Step 3: Cross multiply
    114,264.32x = 171,052.02 × 61,513.88
  4. Step 4: Simplify right side
    114,264.32x = 10,522,072,576.78
  5. Step 5: Solve for x
    x = 10,522,072,576.78/114,264.32
  6. Step 6: Final answer
    x = 92,085.38

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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.