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Finding the Fourth Proportional to 142,056.42, 213,119.33 and 47,286.42

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Solution

The fourth proportional to 142,056.42, 213,119.33 and 47,286.42 is: 70,941.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,056.42 : 213,119.33 = 47,286.42 : x
  2. Step 2: Convert to fraction form
    142,056.42/213,119.33 = 47,286.42/x
  3. Step 3: Cross multiply
    142,056.42x = 213,119.33 × 47,286.42
  4. Step 4: Simplify right side
    142,056.42x = 10,077,650,148.50
  5. Step 5: Solve for x
    x = 10,077,650,148.50/142,056.42
  6. Step 6: Final answer
    x = 70,941.18

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Why These Related Problems?

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