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Finding the Fourth Proportional to 257,334.58, 355,111.34 and 142,614.90

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Solution

The fourth proportional to 257,334.58, 355,111.34 and 142,614.90 is: 196,802.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,334.58 : 355,111.34 = 142,614.90 : x
  2. Step 2: Convert to fraction form
    257,334.58/355,111.34 = 142,614.90/x
  3. Step 3: Cross multiply
    257,334.58x = 355,111.34 × 142,614.90
  4. Step 4: Simplify right side
    257,334.58x = 50,644,168,242.97
  5. Step 5: Solve for x
    x = 50,644,168,242.97/257,334.58
  6. Step 6: Final answer
    x = 196,802.81

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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.