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Finding the Fourth Proportional to 103,684.92, 143,077.74 and 58,360.56

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Solution

The fourth proportional to 103,684.92, 143,077.74 and 58,360.56 is: 80,533.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,684.92 : 143,077.74 = 58,360.56 : x
  2. Step 2: Convert to fraction form
    103,684.92/143,077.74 = 58,360.56/x
  3. Step 3: Cross multiply
    103,684.92x = 143,077.74 × 58,360.56
  4. Step 4: Simplify right side
    103,684.92x = 8,350,097,029.93
  5. Step 5: Solve for x
    x = 8,350,097,029.93/103,684.92
  6. Step 6: Final answer
    x = 80,533.38

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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.