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Finding the Fourth Proportional to 135,077.70, 202,492.70 and 51,909.06

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Solution

The fourth proportional to 135,077.70, 202,492.70 and 51,909.06 is: 77,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,077.70 : 202,492.70 = 51,909.06 : x
  2. Step 2: Convert to fraction form
    135,077.70/202,492.70 = 51,909.06/x
  3. Step 3: Cross multiply
    135,077.70x = 202,492.70 × 51,909.06
  4. Step 4: Simplify right side
    135,077.70x = 10,511,205,713.86
  5. Step 5: Solve for x
    x = 10,511,205,713.86/135,077.70
  6. Step 6: Final answer
    x = 77,816.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.