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Finding the Fourth Proportional to 103,561.85, 142,913.99 and 58,239.82

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Solution

The fourth proportional to 103,561.85, 142,913.99 and 58,239.82 is: 80,370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,561.85 : 142,913.99 = 58,239.82 : x
  2. Step 2: Convert to fraction form
    103,561.85/142,913.99 = 58,239.82/x
  3. Step 3: Cross multiply
    103,561.85x = 142,913.99 × 58,239.82
  4. Step 4: Simplify right side
    103,561.85x = 8,323,284,047.31
  5. Step 5: Solve for x
    x = 8,323,284,047.31/103,561.85
  6. Step 6: Final answer
    x = 80,370.18

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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.