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Finding the Fourth Proportional to 106,948.65, 160,713.76 and 57,063.99

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Solution

The fourth proportional to 106,948.65, 160,713.76 and 57,063.99 is: 85,751.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,948.65 : 160,713.76 = 57,063.99 : x
  2. Step 2: Convert to fraction form
    106,948.65/160,713.76 = 57,063.99/x
  3. Step 3: Cross multiply
    106,948.65x = 160,713.76 × 57,063.99
  4. Step 4: Simplify right side
    106,948.65x = 9,170,968,393.50
  5. Step 5: Solve for x
    x = 9,170,968,393.50/106,948.65
  6. Step 6: Final answer
    x = 85,751.14

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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.