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Finding the Fourth Proportional to 137,145.69, 189,276.75 and 76,731.64

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Solution

The fourth proportional to 137,145.69, 189,276.75 and 76,731.64 is: 105,898.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,145.69 : 189,276.75 = 76,731.64 : x
  2. Step 2: Convert to fraction form
    137,145.69/189,276.75 = 76,731.64/x
  3. Step 3: Cross multiply
    137,145.69x = 189,276.75 × 76,731.64
  4. Step 4: Simplify right side
    137,145.69x = 14,523,514,968.18
  5. Step 5: Solve for x
    x = 14,523,514,968.18/137,145.69
  6. Step 6: Final answer
    x = 105,898.44

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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.