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Finding the Fourth Proportional to 212,710.16, 293,542 and 117,220.24

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Solution

The fourth proportional to 212,710.16, 293,542 and 117,220.24 is: 161,765.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,710.16 : 293,542 = 117,220.24 : x
  2. Step 2: Convert to fraction form
    212,710.16/293,542 = 117,220.24/x
  3. Step 3: Cross multiply
    212,710.16x = 293,542 × 117,220.24
  4. Step 4: Simplify right side
    212,710.16x = 34,409,063,690.08
  5. Step 5: Solve for x
    x = 34,409,063,690.08/212,710.16
  6. Step 6: Final answer
    x = 161,765.02

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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.