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Finding the Fourth Proportional to 82,264.70, 114,937.30 and 82,264.70

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Solution

The fourth proportional to 82,264.70, 114,937.30 and 82,264.70 is: 114,937.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,264.70 : 114,937.30 = 82,264.70 : x
  2. Step 2: Convert to fraction form
    82,264.70/114,937.30 = 82,264.70/x
  3. Step 3: Cross multiply
    82,264.70x = 114,937.30 × 82,264.70
  4. Step 4: Simplify right side
    82,264.70x = 9,455,282,503.31
  5. Step 5: Solve for x
    x = 9,455,282,503.31/82,264.70
  6. Step 6: Final answer
    x = 114,937.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.