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Finding the Fourth Proportional to 205,029.30, 307,592.55 and 105,204.90

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Solution

The fourth proportional to 205,029.30, 307,592.55 and 105,204.90 is: 157,832.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,029.30 : 307,592.55 = 105,204.90 : x
  2. Step 2: Convert to fraction form
    205,029.30/307,592.55 = 105,204.90/x
  3. Step 3: Cross multiply
    205,029.30x = 307,592.55 × 105,204.90
  4. Step 4: Simplify right side
    205,029.30x = 32,360,243,463.50
  5. Step 5: Solve for x
    x = 32,360,243,463.50/205,029.30
  6. Step 6: Final answer
    x = 157,832.29

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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.