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Finding the Fourth Proportional to 108,098.85, 148,846.16 and 97,961.31

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Solution

The fourth proportional to 108,098.85, 148,846.16 and 97,961.31 is: 134,887.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,098.85 : 148,846.16 = 97,961.31 : x
  2. Step 2: Convert to fraction form
    108,098.85/148,846.16 = 97,961.31/x
  3. Step 3: Cross multiply
    108,098.85x = 148,846.16 × 97,961.31
  4. Step 4: Simplify right side
    108,098.85x = 14,581,164,332.26
  5. Step 5: Solve for x
    x = 14,581,164,332.26/108,098.85
  6. Step 6: Final answer
    x = 134,887.32

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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.