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Finding the Fourth Proportional to 212,598.30, 293,385.60 and 117,105

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Solution

The fourth proportional to 212,598.30, 293,385.60 and 117,105 is: 161,604.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,598.30 : 293,385.60 = 117,105 : x
  2. Step 2: Convert to fraction form
    212,598.30/293,385.60 = 117,105/x
  3. Step 3: Cross multiply
    212,598.30x = 293,385.60 × 117,105
  4. Step 4: Simplify right side
    212,598.30x = 34,356,920,688.00
  5. Step 5: Solve for x
    x = 34,356,920,688.00/212,598.30
  6. Step 6: Final answer
    x = 161,604.87

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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.