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Finding the Fourth Proportional to 212,903.76, 293,801.40 and 117,408.72

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Solution

The fourth proportional to 212,903.76, 293,801.40 and 117,408.72 is: 162,020.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,903.76 : 293,801.40 = 117,408.72 : x
  2. Step 2: Convert to fraction form
    212,903.76/293,801.40 = 117,408.72/x
  3. Step 3: Cross multiply
    212,903.76x = 293,801.40 × 117,408.72
  4. Step 4: Simplify right side
    212,903.76x = 34,494,846,308.21
  5. Step 5: Solve for x
    x = 34,494,846,308.21/212,903.76
  6. Step 6: Final answer
    x = 162,020.84

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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.