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Finding the Fourth Proportional to 338,182.68, 507,358.26 and 101,529.72

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Solution

The fourth proportional to 338,182.68, 507,358.26 and 101,529.72 is: 152,319.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,182.68 : 507,358.26 = 101,529.72 : x
  2. Step 2: Convert to fraction form
    338,182.68/507,358.26 = 101,529.72/x
  3. Step 3: Cross multiply
    338,182.68x = 507,358.26 × 101,529.72
  4. Step 4: Simplify right side
    338,182.68x = 51,511,942,077.49
  5. Step 5: Solve for x
    x = 51,511,942,077.49/338,182.68
  6. Step 6: Final answer
    x = 152,319.87

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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.