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Finding the Fourth Proportional to 253,741.34, 380,618.19 and 85,264.11

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Solution

The fourth proportional to 253,741.34, 380,618.19 and 85,264.11 is: 127,898.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,741.34 : 380,618.19 = 85,264.11 : x
  2. Step 2: Convert to fraction form
    253,741.34/380,618.19 = 85,264.11/x
  3. Step 3: Cross multiply
    253,741.34x = 380,618.19 × 85,264.11
  4. Step 4: Simplify right side
    253,741.34x = 32,453,072,253.56
  5. Step 5: Solve for x
    x = 32,453,072,253.56/253,741.34
  6. Step 6: Final answer
    x = 127,898.24

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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.