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Finding the Fourth Proportional to 205,984.30, 289,000.10 and 205,984.30

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Solution

The fourth proportional to 205,984.30, 289,000.10 and 205,984.30 is: 289,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,984.30 : 289,000.10 = 205,984.30 : x
  2. Step 2: Convert to fraction form
    205,984.30/289,000.10 = 205,984.30/x
  3. Step 3: Cross multiply
    205,984.30x = 289,000.10 × 205,984.30
  4. Step 4: Simplify right side
    205,984.30x = 59,529,483,298.43
  5. Step 5: Solve for x
    x = 59,529,483,298.43/205,984.30
  6. Step 6: Final answer
    x = 289,000.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.