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Finding the Fourth Proportional to 338,616.08, 507,821.16 and 101,895.92

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Solution

The fourth proportional to 338,616.08, 507,821.16 and 101,895.92 is: 152,812.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,616.08 : 507,821.16 = 101,895.92 : x
  2. Step 2: Convert to fraction form
    338,616.08/507,821.16 = 101,895.92/x
  3. Step 3: Cross multiply
    338,616.08x = 507,821.16 × 101,895.92
  4. Step 4: Simplify right side
    338,616.08x = 51,744,904,293.67
  5. Step 5: Solve for x
    x = 51,744,904,293.67/338,616.08
  6. Step 6: Final answer
    x = 152,812.90

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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.