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Finding the Fourth Proportional to 212,686.64, 293,495.56 and 117,203.12

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Solution

The fourth proportional to 212,686.64, 293,495.56 and 117,203.12 is: 161,733.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,686.64 : 293,495.56 = 117,203.12 : x
  2. Step 2: Convert to fraction form
    212,686.64/293,495.56 = 117,203.12/x
  3. Step 3: Cross multiply
    212,686.64x = 293,495.56 × 117,203.12
  4. Step 4: Simplify right side
    212,686.64x = 34,398,595,338.15
  5. Step 5: Solve for x
    x = 34,398,595,338.15/212,686.64
  6. Step 6: Final answer
    x = 161,733.69

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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.