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Finding the Fourth Proportional to 205,002.30, 307,561.05 and 99,824.70

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Solution

The fourth proportional to 205,002.30, 307,561.05 and 99,824.70 is: 149,765.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,002.30 : 307,561.05 = 99,824.70 : x
  2. Step 2: Convert to fraction form
    205,002.30/307,561.05 = 99,824.70/x
  3. Step 3: Cross multiply
    205,002.30x = 307,561.05 × 99,824.70
  4. Step 4: Simplify right side
    205,002.30x = 30,702,189,547.94
  5. Step 5: Solve for x
    x = 30,702,189,547.94/205,002.30
  6. Step 6: Final answer
    x = 149,765.10

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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.