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Finding the Fourth Proportional to 357,226.54, 535,789.32 and 120,538.06

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Solution

The fourth proportional to 357,226.54, 535,789.32 and 120,538.06 is: 180,790.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,226.54 : 535,789.32 = 120,538.06 : x
  2. Step 2: Convert to fraction form
    357,226.54/535,789.32 = 120,538.06/x
  3. Step 3: Cross multiply
    357,226.54x = 535,789.32 × 120,538.06
  4. Step 4: Simplify right side
    357,226.54x = 64,583,005,201.52
  5. Step 5: Solve for x
    x = 64,583,005,201.52/357,226.54
  6. Step 6: Final answer
    x = 180,790.05

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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.