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Finding the Fourth Proportional to 255,302.19, 352,314 and 140,578.47

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Solution

The fourth proportional to 255,302.19, 352,314 and 140,578.47 is: 193,996.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,302.19 : 352,314 = 140,578.47 : x
  2. Step 2: Convert to fraction form
    255,302.19/352,314 = 140,578.47/x
  3. Step 3: Cross multiply
    255,302.19x = 352,314 × 140,578.47
  4. Step 4: Simplify right side
    255,302.19x = 49,527,763,079.58
  5. Step 5: Solve for x
    x = 49,527,763,079.58/255,302.19
  6. Step 6: Final answer
    x = 193,996.62

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