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Finding the Fourth Proportional to 219,052.50, 302,325.26 and 134,218.78

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Solution

The fourth proportional to 219,052.50, 302,325.26 and 134,218.78 is: 185,242.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,052.50 : 302,325.26 = 134,218.78 : x
  2. Step 2: Convert to fraction form
    219,052.50/302,325.26 = 134,218.78/x
  3. Step 3: Cross multiply
    219,052.50x = 302,325.26 × 134,218.78
  4. Step 4: Simplify right side
    219,052.50x = 40,577,727,560.38
  5. Step 5: Solve for x
    x = 40,577,727,560.38/219,052.50
  6. Step 6: Final answer
    x = 185,242.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.