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Finding the Fourth Proportional to 195,736.50, 270,116.64 and 106,312.50

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Solution

The fourth proportional to 195,736.50, 270,116.64 and 106,312.50 is: 146,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,736.50 : 270,116.64 = 106,312.50 : x
  2. Step 2: Convert to fraction form
    195,736.50/270,116.64 = 106,312.50/x
  3. Step 3: Cross multiply
    195,736.50x = 270,116.64 × 106,312.50
  4. Step 4: Simplify right side
    195,736.50x = 28,716,775,290
  5. Step 5: Solve for x
    x = 28,716,775,290/195,736.50
  6. Step 6: Final answer
    x = 146,711.40

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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.