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Finding the Fourth Proportional to 137,205.64, 189,344.52 and 76,776.40

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Solution

The fourth proportional to 137,205.64, 189,344.52 and 76,776.40 is: 105,951.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,205.64 : 189,344.52 = 76,776.40 : x
  2. Step 2: Convert to fraction form
    137,205.64/189,344.52 = 76,776.40/x
  3. Step 3: Cross multiply
    137,205.64x = 189,344.52 × 76,776.40
  4. Step 4: Simplify right side
    137,205.64x = 14,537,190,605.33
  5. Step 5: Solve for x
    x = 14,537,190,605.33/137,205.64
  6. Step 6: Final answer
    x = 105,951.84

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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.