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Finding the Fourth Proportional to 137,142.16, 189,273.66 and 76,716.16

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Solution

The fourth proportional to 137,142.16, 189,273.66 and 76,716.16 is: 105,878.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,142.16 : 189,273.66 = 76,716.16 : x
  2. Step 2: Convert to fraction form
    137,142.16/189,273.66 = 76,716.16/x
  3. Step 3: Cross multiply
    137,142.16x = 189,273.66 × 76,716.16
  4. Step 4: Simplify right side
    137,142.16x = 14,520,348,384.35
  5. Step 5: Solve for x
    x = 14,520,348,384.35/137,142.16
  6. Step 6: Final answer
    x = 105,878.08

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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.