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Finding the Fourth Proportional to 205,164.60, 307,941.30 and 175,615.80

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Solution

The fourth proportional to 205,164.60, 307,941.30 and 175,615.80 is: 263,590.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,164.60 : 307,941.30 = 175,615.80 : x
  2. Step 2: Convert to fraction form
    205,164.60/307,941.30 = 175,615.80/x
  3. Step 3: Cross multiply
    205,164.60x = 307,941.30 × 175,615.80
  4. Step 4: Simplify right side
    205,164.60x = 54,079,357,752.54
  5. Step 5: Solve for x
    x = 54,079,357,752.54/205,164.60
  6. Step 6: Final answer
    x = 263,590.10

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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.