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Finding the Fourth Proportional to 97,136.46, 134,048.82 and 56,842.38

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Solution

The fourth proportional to 97,136.46, 134,048.82 and 56,842.38 is: 78,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,136.46 : 134,048.82 = 56,842.38 : x
  2. Step 2: Convert to fraction form
    97,136.46/134,048.82 = 56,842.38/x
  3. Step 3: Cross multiply
    97,136.46x = 134,048.82 × 56,842.38
  4. Step 4: Simplify right side
    97,136.46x = 7,619,653,964.99
  5. Step 5: Solve for x
    x = 7,619,653,964.99/97,136.46
  6. Step 6: Final answer
    x = 78,442.78

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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.