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Finding the Fourth Proportional to 212,242.34, 318,394.78 and 70,102.40

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Solution

The fourth proportional to 212,242.34, 318,394.78 and 70,102.40 is: 105,163.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,242.34 : 318,394.78 = 70,102.40 : x
  2. Step 2: Convert to fraction form
    212,242.34/318,394.78 = 70,102.40/x
  3. Step 3: Cross multiply
    212,242.34x = 318,394.78 × 70,102.40
  4. Step 4: Simplify right side
    212,242.34x = 22,320,236,458.24
  5. Step 5: Solve for x
    x = 22,320,236,458.24/212,242.34
  6. Step 6: Final answer
    x = 105,163.92

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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.