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Finding the Fourth Proportional to 117,006.60, 175,509.90 and 81,577.20

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Solution

The fourth proportional to 117,006.60, 175,509.90 and 81,577.20 is: 122,365.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,006.60 : 175,509.90 = 81,577.20 : x
  2. Step 2: Convert to fraction form
    117,006.60/175,509.90 = 81,577.20/x
  3. Step 3: Cross multiply
    117,006.60x = 175,509.90 × 81,577.20
  4. Step 4: Simplify right side
    117,006.60x = 14,317,606,214.28
  5. Step 5: Solve for x
    x = 14,317,606,214.28/117,006.60
  6. Step 6: Final answer
    x = 122,365.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.