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Finding the Fourth Proportional to 107,953.40, 161,930.10 and 81,709.40

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Solution

The fourth proportional to 107,953.40, 161,930.10 and 81,709.40 is: 122,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,953.40 : 161,930.10 = 81,709.40 : x
  2. Step 2: Convert to fraction form
    107,953.40/161,930.10 = 81,709.40/x
  3. Step 3: Cross multiply
    107,953.40x = 161,930.10 × 81,709.40
  4. Step 4: Simplify right side
    107,953.40x = 13,231,211,312.94
  5. Step 5: Solve for x
    x = 13,231,211,312.94/107,953.40
  6. Step 6: Final answer
    x = 122,564.10

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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.