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Finding the Fourth Proportional to 212,438.40, 318,656.64 and 101,293.44

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Solution

The fourth proportional to 212,438.40, 318,656.64 and 101,293.44 is: 151,939.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,438.40 : 318,656.64 = 101,293.44 : x
  2. Step 2: Convert to fraction form
    212,438.40/318,656.64 = 101,293.44/x
  3. Step 3: Cross multiply
    212,438.40x = 318,656.64 × 101,293.44
  4. Step 4: Simplify right side
    212,438.40x = 32,277,827,244.44
  5. Step 5: Solve for x
    x = 32,277,827,244.44/212,438.40
  6. Step 6: Final answer
    x = 151,939.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.