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Finding the Fourth Proportional to 356,729.10, 535,093.65 and 156,837.30

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Solution

The fourth proportional to 356,729.10, 535,093.65 and 156,837.30 is: 235,255.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,729.10 : 535,093.65 = 156,837.30 : x
  2. Step 2: Convert to fraction form
    356,729.10/535,093.65 = 156,837.30/x
  3. Step 3: Cross multiply
    356,729.10x = 535,093.65 × 156,837.30
  4. Step 4: Simplify right side
    356,729.10x = 83,922,643,313.15
  5. Step 5: Solve for x
    x = 83,922,643,313.15/356,729.10
  6. Step 6: Final answer
    x = 235,255.95

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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.