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Finding the Fourth Proportional to 338,155.53, 507,311.06 and 101,502.69

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Solution

The fourth proportional to 338,155.53, 507,311.06 and 101,502.69 is: 152,277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,155.53 : 507,311.06 = 101,502.69 : x
  2. Step 2: Convert to fraction form
    338,155.53/507,311.06 = 101,502.69/x
  3. Step 3: Cross multiply
    338,155.53x = 507,311.06 × 101,502.69
  4. Step 4: Simplify right side
    338,155.53x = 51,493,436,749.24
  5. Step 5: Solve for x
    x = 51,493,436,749.24/338,155.53
  6. Step 6: Final answer
    x = 152,277.38

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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.