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Finding the Fourth Proportional to 524,099.77, 786,121.85 and 169,113.82

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Solution

The fourth proportional to 524,099.77, 786,121.85 and 169,113.82 is: 253,661.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,099.77 : 786,121.85 = 169,113.82 : x
  2. Step 2: Convert to fraction form
    524,099.77/786,121.85 = 169,113.82/x
  3. Step 3: Cross multiply
    524,099.77x = 786,121.85 × 169,113.82
  4. Step 4: Simplify right side
    524,099.77x = 132,944,069,038.97
  5. Step 5: Solve for x
    x = 132,944,069,038.97/524,099.77
  6. Step 6: Final answer
    x = 253,661.76

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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.