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Finding the Fourth Proportional to 243,013.45, 364,028.10 and 137,709.40

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Solution

The fourth proportional to 243,013.45, 364,028.10 and 137,709.40 is: 206,285.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,013.45 : 364,028.10 = 137,709.40 : x
  2. Step 2: Convert to fraction form
    243,013.45/364,028.10 = 137,709.40/x
  3. Step 3: Cross multiply
    243,013.45x = 364,028.10 × 137,709.40
  4. Step 4: Simplify right side
    243,013.45x = 50,130,091,234.14
  5. Step 5: Solve for x
    x = 50,130,091,234.14/243,013.45
  6. Step 6: Final answer
    x = 206,285.25

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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.