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Finding the Fourth Proportional to 212,830.34, 293,699.82 and 117,337.11

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Solution

The fourth proportional to 212,830.34, 293,699.82 and 117,337.11 is: 161,921.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,830.34 : 293,699.82 = 117,337.11 : x
  2. Step 2: Convert to fraction form
    212,830.34/293,699.82 = 117,337.11/x
  3. Step 3: Cross multiply
    212,830.34x = 293,699.82 × 117,337.11
  4. Step 4: Simplify right side
    212,830.34x = 34,461,887,424.96
  5. Step 5: Solve for x
    x = 34,461,887,424.96/212,830.34
  6. Step 6: Final answer
    x = 161,921.88

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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.