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Finding the Fourth Proportional to 256,055.09, 353,391.59 and 142,885.13

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Solution

The fourth proportional to 256,055.09, 353,391.59 and 142,885.13 is: 197,201.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,055.09 : 353,391.59 = 142,885.13 : x
  2. Step 2: Convert to fraction form
    256,055.09/353,391.59 = 142,885.13/x
  3. Step 3: Cross multiply
    256,055.09x = 353,391.59 × 142,885.13
  4. Step 4: Simplify right side
    256,055.09x = 50,494,401,868.31
  5. Step 5: Solve for x
    x = 50,494,401,868.31/256,055.09
  6. Step 6: Final answer
    x = 197,201.32

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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.