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Finding the Fourth Proportional to 238,525.52, 329,028.16 and 148,946

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Solution

The fourth proportional to 238,525.52, 329,028.16 and 148,946 is: 205,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,525.52 : 329,028.16 = 148,946 : x
  2. Step 2: Convert to fraction form
    238,525.52/329,028.16 = 148,946/x
  3. Step 3: Cross multiply
    238,525.52x = 329,028.16 × 148,946
  4. Step 4: Simplify right side
    238,525.52x = 49,007,428,319.36
  5. Step 5: Solve for x
    x = 49,007,428,319.36/238,525.52
  6. Step 6: Final answer
    x = 205,459.90

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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.