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Finding the Fourth Proportional to 103,597.52, 142,977.22 and 58,277.41

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Solution

The fourth proportional to 103,597.52, 142,977.22 and 58,277.41 is: 80,429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,597.52 : 142,977.22 = 58,277.41 : x
  2. Step 2: Convert to fraction form
    103,597.52/142,977.22 = 58,277.41/x
  3. Step 3: Cross multiply
    103,597.52x = 142,977.22 × 58,277.41
  4. Step 4: Simplify right side
    103,597.52x = 8,332,341,567.46
  5. Step 5: Solve for x
    x = 8,332,341,567.46/103,597.52
  6. Step 6: Final answer
    x = 80,429.94

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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.