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Finding the Fourth Proportional to 196,356.25, 294,534.38 and 129,782.60

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Solution

The fourth proportional to 196,356.25, 294,534.38 and 129,782.60 is: 194,673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,356.25 : 294,534.38 = 129,782.60 : x
  2. Step 2: Convert to fraction form
    196,356.25/294,534.38 = 129,782.60/x
  3. Step 3: Cross multiply
    196,356.25x = 294,534.38 × 129,782.60
  4. Step 4: Simplify right side
    196,356.25x = 38,225,438,508.81
  5. Step 5: Solve for x
    x = 38,225,438,508.81/196,356.25
  6. Step 6: Final answer
    x = 194,673.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.