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Finding the Fourth Proportional to 140,505.10, 210,704.75 and 45,710.49

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Solution

The fourth proportional to 140,505.10, 210,704.75 and 45,710.49 is: 68,548.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,505.10 : 210,704.75 = 45,710.49 : x
  2. Step 2: Convert to fraction form
    140,505.10/210,704.75 = 45,710.49/x
  3. Step 3: Cross multiply
    140,505.10x = 210,704.75 × 45,710.49
  4. Step 4: Simplify right side
    140,505.10x = 9,631,416,428.58
  5. Step 5: Solve for x
    x = 9,631,416,428.58/140,505.10
  6. Step 6: Final answer
    x = 68,548.52

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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.