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Finding the Fourth Proportional to 106,692.88, 160,129.12 and 53,368.86

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Solution

The fourth proportional to 106,692.88, 160,129.12 and 53,368.86 is: 80,098.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,692.88 : 160,129.12 = 53,368.86 : x
  2. Step 2: Convert to fraction form
    106,692.88/160,129.12 = 53,368.86/x
  3. Step 3: Cross multiply
    106,692.88x = 160,129.12 × 53,368.86
  4. Step 4: Simplify right side
    106,692.88x = 8,545,908,587.20
  5. Step 5: Solve for x
    x = 8,545,908,587.20/106,692.88
  6. Step 6: Final answer
    x = 80,098.21

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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.