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Finding the Fourth Proportional to 255,733.06, 352,842.38 and 145,350.17

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Solution

The fourth proportional to 255,733.06, 352,842.38 and 145,350.17 is: 200,543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,733.06 : 352,842.38 = 145,350.17 : x
  2. Step 2: Convert to fraction form
    255,733.06/352,842.38 = 145,350.17/x
  3. Step 3: Cross multiply
    255,733.06x = 352,842.38 × 145,350.17
  4. Step 4: Simplify right side
    255,733.06x = 51,285,699,916.20
  5. Step 5: Solve for x
    x = 51,285,699,916.20/255,733.06
  6. Step 6: Final answer
    x = 200,543.88

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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.