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Finding the Fourth Proportional to 108,430.79, 149,777.44 and 83,248.29

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Solution

The fourth proportional to 108,430.79, 149,777.44 and 83,248.29 is: 114,992.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,430.79 : 149,777.44 = 83,248.29 : x
  2. Step 2: Convert to fraction form
    108,430.79/149,777.44 = 83,248.29/x
  3. Step 3: Cross multiply
    108,430.79x = 149,777.44 × 83,248.29
  4. Step 4: Simplify right side
    108,430.79x = 12,468,715,552.46
  5. Step 5: Solve for x
    x = 12,468,715,552.46/108,430.79
  6. Step 6: Final answer
    x = 114,992.39

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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.