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Finding the Fourth Proportional to 211,349.76, 317,066.08 and 78,231.14

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Solution

The fourth proportional to 211,349.76, 317,066.08 and 78,231.14 is: 117,362.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,349.76 : 317,066.08 = 78,231.14 : x
  2. Step 2: Convert to fraction form
    211,349.76/317,066.08 = 78,231.14/x
  3. Step 3: Cross multiply
    211,349.76x = 317,066.08 × 78,231.14
  4. Step 4: Simplify right side
    211,349.76x = 24,804,440,893.73
  5. Step 5: Solve for x
    x = 24,804,440,893.73/211,349.76
  6. Step 6: Final answer
    x = 117,362.05

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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.