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Finding the Fourth Proportional to 215,564.88, 323,386.20 and 97,291.92

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Solution

The fourth proportional to 215,564.88, 323,386.20 and 97,291.92 is: 145,955.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,564.88 : 323,386.20 = 97,291.92 : x
  2. Step 2: Convert to fraction form
    215,564.88/323,386.20 = 97,291.92/x
  3. Step 3: Cross multiply
    215,564.88x = 323,386.20 × 97,291.92
  4. Step 4: Simplify right side
    215,564.88x = 31,462,864,299.50
  5. Step 5: Solve for x
    x = 31,462,864,299.50/215,564.88
  6. Step 6: Final answer
    x = 145,955.43

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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.