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Finding the Fourth Proportional to 109,434.56, 151,010.62 and 61,699.64

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Solution

The fourth proportional to 109,434.56, 151,010.62 and 61,699.64 is: 85,140.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,434.56 : 151,010.62 = 61,699.64 : x
  2. Step 2: Convert to fraction form
    109,434.56/151,010.62 = 61,699.64/x
  3. Step 3: Cross multiply
    109,434.56x = 151,010.62 × 61,699.64
  4. Step 4: Simplify right side
    109,434.56x = 9,317,300,890.18
  5. Step 5: Solve for x
    x = 9,317,300,890.18/109,434.56
  6. Step 6: Final answer
    x = 85,140.39

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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.