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Finding the Fourth Proportional to 212,797.60, 293,657.50 and 117,302.24

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Solution

The fourth proportional to 212,797.60, 293,657.50 and 117,302.24 is: 161,875.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,797.60 : 293,657.50 = 117,302.24 : x
  2. Step 2: Convert to fraction form
    212,797.60/293,657.50 = 117,302.24/x
  3. Step 3: Cross multiply
    212,797.60x = 293,657.50 × 117,302.24
  4. Step 4: Simplify right side
    212,797.60x = 34,446,682,542.80
  5. Step 5: Solve for x
    x = 34,446,682,542.80/212,797.60
  6. Step 6: Final answer
    x = 161,875.33

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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.