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Finding the Fourth Proportional to 102,126.69, 140,932.81 and 56,803.70

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Solution

The fourth proportional to 102,126.69, 140,932.81 and 56,803.70 is: 78,387.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,126.69 : 140,932.81 = 56,803.70 : x
  2. Step 2: Convert to fraction form
    102,126.69/140,932.81 = 56,803.70/x
  3. Step 3: Cross multiply
    102,126.69x = 140,932.81 × 56,803.70
  4. Step 4: Simplify right side
    102,126.69x = 8,005,505,059.40
  5. Step 5: Solve for x
    x = 8,005,505,059.40/102,126.69
  6. Step 6: Final answer
    x = 78,387.98

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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.