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Finding the Fourth Proportional to 323,101.36, 445,894.50 and 187,141.24

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Solution

The fourth proportional to 323,101.36, 445,894.50 and 187,141.24 is: 258,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,101.36 : 445,894.50 = 187,141.24 : x
  2. Step 2: Convert to fraction form
    323,101.36/445,894.50 = 187,141.24/x
  3. Step 3: Cross multiply
    323,101.36x = 445,894.50 × 187,141.24
  4. Step 4: Simplify right side
    323,101.36x = 83,445,249,639.18
  5. Step 5: Solve for x
    x = 83,445,249,639.18/323,101.36
  6. Step 6: Final answer
    x = 258,263.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.