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Finding the Fourth Proportional to 101,309.49, 151,916.50 and 59,201.74

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Solution

The fourth proportional to 101,309.49, 151,916.50 and 59,201.74 is: 88,774.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,309.49 : 151,916.50 = 59,201.74 : x
  2. Step 2: Convert to fraction form
    101,309.49/151,916.50 = 59,201.74/x
  3. Step 3: Cross multiply
    101,309.49x = 151,916.50 × 59,201.74
  4. Step 4: Simplify right side
    101,309.49x = 8,993,721,134.71
  5. Step 5: Solve for x
    x = 8,993,721,134.71/101,309.49
  6. Step 6: Final answer
    x = 88,774.72

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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.