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Finding the Fourth Proportional to 255,541.40, 352,649.46 and 140,824.16

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Solution

The fourth proportional to 255,541.40, 352,649.46 and 140,824.16 is: 194,338.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,541.40 : 352,649.46 = 140,824.16 : x
  2. Step 2: Convert to fraction form
    255,541.40/352,649.46 = 140,824.16/x
  3. Step 3: Cross multiply
    255,541.40x = 352,649.46 × 140,824.16
  4. Step 4: Simplify right side
    255,541.40x = 49,661,562,215.71
  5. Step 5: Solve for x
    x = 49,661,562,215.71/255,541.40
  6. Step 6: Final answer
    x = 194,338.62

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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.