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Finding the Fourth Proportional to 235,298.56, 353,018.24 and 85,536

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Solution

The fourth proportional to 235,298.56, 353,018.24 and 85,536 is: 128,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,298.56 : 353,018.24 = 85,536 : x
  2. Step 2: Convert to fraction form
    235,298.56/353,018.24 = 85,536/x
  3. Step 3: Cross multiply
    235,298.56x = 353,018.24 × 85,536
  4. Step 4: Simplify right side
    235,298.56x = 30,195,768,176.64
  5. Step 5: Solve for x
    x = 30,195,768,176.64/235,298.56
  6. Step 6: Final answer
    x = 128,329.59

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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.