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Finding the Fourth Proportional to 212,640.66, 293,457.36 and 117,147.30

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Solution

The fourth proportional to 212,640.66, 293,457.36 and 117,147.30 is: 161,670.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,640.66 : 293,457.36 = 117,147.30 : x
  2. Step 2: Convert to fraction form
    212,640.66/293,457.36 = 117,147.30/x
  3. Step 3: Cross multiply
    212,640.66x = 293,457.36 × 117,147.30
  4. Step 4: Simplify right side
    212,640.66x = 34,377,737,389.13
  5. Step 5: Solve for x
    x = 34,377,737,389.13/212,640.66
  6. Step 6: Final answer
    x = 161,670.57

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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.