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Finding the Fourth Proportional to 137,131.60, 189,237.96 and 77,515.60

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Solution

The fourth proportional to 137,131.60, 189,237.96 and 77,515.60 is: 106,969.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,131.60 : 189,237.96 = 77,515.60 : x
  2. Step 2: Convert to fraction form
    137,131.60/189,237.96 = 77,515.60/x
  3. Step 3: Cross multiply
    137,131.60x = 189,237.96 × 77,515.60
  4. Step 4: Simplify right side
    137,131.60x = 14,668,894,012.18
  5. Step 5: Solve for x
    x = 14,668,894,012.18/137,131.60
  6. Step 6: Final answer
    x = 106,969.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.