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Finding the Fourth Proportional to 116,502.78, 174,491.64 and 81,598.26

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Solution

The fourth proportional to 116,502.78, 174,491.64 and 81,598.26 is: 122,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,502.78 : 174,491.64 = 81,598.26 : x
  2. Step 2: Convert to fraction form
    116,502.78/174,491.64 = 81,598.26/x
  3. Step 3: Cross multiply
    116,502.78x = 174,491.64 × 81,598.26
  4. Step 4: Simplify right side
    116,502.78x = 14,238,214,208.55
  5. Step 5: Solve for x
    x = 14,238,214,208.55/116,502.78
  6. Step 6: Final answer
    x = 122,213.51

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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.