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Finding the Fourth Proportional to 212,785.89, 293,646.54 and 117,296.00

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Solution

The fourth proportional to 212,785.89, 293,646.54 and 117,296.00 is: 161,869.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,785.89 : 293,646.54 = 117,296.00 : x
  2. Step 2: Convert to fraction form
    212,785.89/293,646.54 = 117,296.00/x
  3. Step 3: Cross multiply
    212,785.89x = 293,646.54 × 117,296.00
  4. Step 4: Simplify right side
    212,785.89x = 34,443,563,087.61
  5. Step 5: Solve for x
    x = 34,443,563,087.61/212,785.89
  6. Step 6: Final answer
    x = 161,869.58

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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.