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Finding the Fourth Proportional to 238,642.64, 329,307.30 and 140,510.36

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Solution

The fourth proportional to 238,642.64, 329,307.30 and 140,510.36 is: 193,892.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,642.64 : 329,307.30 = 140,510.36 : x
  2. Step 2: Convert to fraction form
    238,642.64/329,307.30 = 140,510.36/x
  3. Step 3: Cross multiply
    238,642.64x = 329,307.30 × 140,510.36
  4. Step 4: Simplify right side
    238,642.64x = 46,271,087,273.63
  5. Step 5: Solve for x
    x = 46,271,087,273.63/238,642.64
  6. Step 6: Final answer
    x = 193,892.79

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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.