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Finding the Fourth Proportional to 213,294.60, 294,344.82 and 117,807.84

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Solution

The fourth proportional to 213,294.60, 294,344.82 and 117,807.84 is: 162,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,294.60 : 294,344.82 = 117,807.84 : x
  2. Step 2: Convert to fraction form
    213,294.60/294,344.82 = 117,807.84/x
  3. Step 3: Cross multiply
    213,294.60x = 294,344.82 × 117,807.84
  4. Step 4: Simplify right side
    213,294.60x = 34,676,127,459.39
  5. Step 5: Solve for x
    x = 34,676,127,459.39/213,294.60
  6. Step 6: Final answer
    x = 162,573.86

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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.