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Finding the Fourth Proportional to 103,980.60, 143,362.98 and 86,777.60

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Solution

The fourth proportional to 103,980.60, 143,362.98 and 86,777.60 is: 119,644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,980.60 : 143,362.98 = 86,777.60 : x
  2. Step 2: Convert to fraction form
    103,980.60/143,362.98 = 86,777.60/x
  3. Step 3: Cross multiply
    103,980.60x = 143,362.98 × 86,777.60
  4. Step 4: Simplify right side
    103,980.60x = 12,440,694,616.43
  5. Step 5: Solve for x
    x = 12,440,694,616.43/103,980.60
  6. Step 6: Final answer
    x = 119,644.38

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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.