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Finding the Fourth Proportional to 255,772.50, 352,961.37 and 141,061.74

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Solution

The fourth proportional to 255,772.50, 352,961.37 and 141,061.74 is: 194,662.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,772.50 : 352,961.37 = 141,061.74 : x
  2. Step 2: Convert to fraction form
    255,772.50/352,961.37 = 141,061.74/x
  3. Step 3: Cross multiply
    255,772.50x = 352,961.37 × 141,061.74
  4. Step 4: Simplify right side
    255,772.50x = 49,789,345,004.98
  5. Step 5: Solve for x
    x = 49,789,345,004.98/255,772.50
  6. Step 6: Final answer
    x = 194,662.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.