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Finding the Fourth Proportional to 103,684.88, 143,088.36 and 58,975.76

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Solution

The fourth proportional to 103,684.88, 143,088.36 and 58,975.76 is: 81,388.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,684.88 : 143,088.36 = 58,975.76 : x
  2. Step 2: Convert to fraction form
    103,684.88/143,088.36 = 58,975.76/x
  3. Step 3: Cross multiply
    103,684.88x = 143,088.36 × 58,975.76
  4. Step 4: Simplify right side
    103,684.88x = 8,438,744,778.15
  5. Step 5: Solve for x
    x = 8,438,744,778.15/103,684.88
  6. Step 6: Final answer
    x = 81,388.38

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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.