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Finding the Fourth Proportional to 231,051, 346,576.56 and 83,307

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Solution

The fourth proportional to 231,051, 346,576.56 and 83,307 is: 124,960.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,051 : 346,576.56 = 83,307 : x
  2. Step 2: Convert to fraction form
    231,051/346,576.56 = 83,307/x
  3. Step 3: Cross multiply
    231,051x = 346,576.56 × 83,307
  4. Step 4: Simplify right side
    231,051x = 28,872,253,483.92
  5. Step 5: Solve for x
    x = 28,872,253,483.92/231,051
  6. Step 6: Final answer
    x = 124,960.52

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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.