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Finding the Fourth Proportional to 338,201.83, 507,306.99 and 101,530.76

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Solution

The fourth proportional to 338,201.83, 507,306.99 and 101,530.76 is: 152,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,201.83 : 507,306.99 = 101,530.76 : x
  2. Step 2: Convert to fraction form
    338,201.83/507,306.99 = 101,530.76/x
  3. Step 3: Cross multiply
    338,201.83x = 507,306.99 × 101,530.76
  4. Step 4: Simplify right side
    338,201.83x = 51,507,264,248.01
  5. Step 5: Solve for x
    x = 51,507,264,248.01/338,201.83
  6. Step 6: Final answer
    x = 152,297.42

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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.