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Finding the Fourth Proportional to 295,036.30, 442,736.70 and 117,524.80

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Solution

The fourth proportional to 295,036.30, 442,736.70 and 117,524.80 is: 176,359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,036.30 : 442,736.70 = 117,524.80 : x
  2. Step 2: Convert to fraction form
    295,036.30/442,736.70 = 117,524.80/x
  3. Step 3: Cross multiply
    295,036.30x = 442,736.70 × 117,524.80
  4. Step 4: Simplify right side
    295,036.30x = 52,032,542,120.16
  5. Step 5: Solve for x
    x = 52,032,542,120.16/295,036.30
  6. Step 6: Final answer
    x = 176,359.80

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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.