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Finding the Fourth Proportional to 137,100.32, 189,155.40 and 76,662.80

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Solution

The fourth proportional to 137,100.32, 189,155.40 and 76,662.80 is: 105,770.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,100.32 : 189,155.40 = 76,662.80 : x
  2. Step 2: Convert to fraction form
    137,100.32/189,155.40 = 76,662.80/x
  3. Step 3: Cross multiply
    137,100.32x = 189,155.40 × 76,662.80
  4. Step 4: Simplify right side
    137,100.32x = 14,501,182,599.12
  5. Step 5: Solve for x
    x = 14,501,182,599.12/137,100.32
  6. Step 6: Final answer
    x = 105,770.60

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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.