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Finding the Fourth Proportional to 205,027.80, 307,590.30 and 105,203.40

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Solution

The fourth proportional to 205,027.80, 307,590.30 and 105,203.40 is: 157,830.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,027.80 : 307,590.30 = 105,203.40 : x
  2. Step 2: Convert to fraction form
    205,027.80/307,590.30 = 105,203.40/x
  3. Step 3: Cross multiply
    205,027.80x = 307,590.30 × 105,203.40
  4. Step 4: Simplify right side
    205,027.80x = 32,359,545,367.02
  5. Step 5: Solve for x
    x = 32,359,545,367.02/205,027.80
  6. Step 6: Final answer
    x = 157,830.04

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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.