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Finding the Fourth Proportional to 103,698.02, 143,103.25 and 58,986.02

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Solution

The fourth proportional to 103,698.02, 143,103.25 and 58,986.02 is: 81,400.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,698.02 : 143,103.25 = 58,986.02 : x
  2. Step 2: Convert to fraction form
    103,698.02/143,103.25 = 58,986.02/x
  3. Step 3: Cross multiply
    103,698.02x = 143,103.25 × 58,986.02
  4. Step 4: Simplify right side
    103,698.02x = 8,441,091,166.57
  5. Step 5: Solve for x
    x = 8,441,091,166.57/103,698.02
  6. Step 6: Final answer
    x = 81,400.70

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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.