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Finding the Fourth Proportional to 106,950.40, 160,425.60 and 101,766.40

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Solution

The fourth proportional to 106,950.40, 160,425.60 and 101,766.40 is: 152,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,950.40 : 160,425.60 = 101,766.40 : x
  2. Step 2: Convert to fraction form
    106,950.40/160,425.60 = 101,766.40/x
  3. Step 3: Cross multiply
    106,950.40x = 160,425.60 × 101,766.40
  4. Step 4: Simplify right side
    106,950.40x = 16,325,935,779.84
  5. Step 5: Solve for x
    x = 16,325,935,779.84/106,950.40
  6. Step 6: Final answer
    x = 152,649.60

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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.