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Finding the Fourth Proportional to 216,010.78, 323,983.26 and 82,953.70

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Solution

The fourth proportional to 216,010.78, 323,983.26 and 82,953.70 is: 124,417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,010.78 : 323,983.26 = 82,953.70 : x
  2. Step 2: Convert to fraction form
    216,010.78/323,983.26 = 82,953.70/x
  3. Step 3: Cross multiply
    216,010.78x = 323,983.26 × 82,953.70
  4. Step 4: Simplify right side
    216,010.78x = 26,875,610,155.06
  5. Step 5: Solve for x
    x = 26,875,610,155.06/216,010.78
  6. Step 6: Final answer
    x = 124,417.91

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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.