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Finding the Fourth Proportional to 176,293, 264,264.54 and 82,631.08

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Solution

The fourth proportional to 176,293, 264,264.54 and 82,631.08 is: 123,864.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,293 : 264,264.54 = 82,631.08 : x
  2. Step 2: Convert to fraction form
    176,293/264,264.54 = 82,631.08/x
  3. Step 3: Cross multiply
    176,293x = 264,264.54 × 82,631.08
  4. Step 4: Simplify right side
    176,293x = 21,836,464,345.90
  5. Step 5: Solve for x
    x = 21,836,464,345.90/176,293
  6. Step 6: Final answer
    x = 123,864.61

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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.