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Finding the Fourth Proportional to 195,788.40, 293,693.76 and 55,536

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Solution

The fourth proportional to 195,788.40, 293,693.76 and 55,536 is: 83,307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,788.40 : 293,693.76 = 55,536 : x
  2. Step 2: Convert to fraction form
    195,788.40/293,693.76 = 55,536/x
  3. Step 3: Cross multiply
    195,788.40x = 293,693.76 × 55,536
  4. Step 4: Simplify right side
    195,788.40x = 16,310,576,655.36
  5. Step 5: Solve for x
    x = 16,310,576,655.36/195,788.40
  6. Step 6: Final answer
    x = 83,307.17

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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.