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Finding the Fourth Proportional to 106,903.67, 160,352.19 and 50,784.17

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Solution

The fourth proportional to 106,903.67, 160,352.19 and 50,784.17 is: 76,174.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,903.67 : 160,352.19 = 50,784.17 : x
  2. Step 2: Convert to fraction form
    106,903.67/160,352.19 = 50,784.17/x
  3. Step 3: Cross multiply
    106,903.67x = 160,352.19 × 50,784.17
  4. Step 4: Simplify right side
    106,903.67x = 8,143,352,075.07
  5. Step 5: Solve for x
    x = 8,143,352,075.07/106,903.67
  6. Step 6: Final answer
    x = 76,174.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.