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Finding the Fourth Proportional to 106,950.56, 160,583.54 and 59,658.05

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Solution

The fourth proportional to 106,950.56, 160,583.54 and 59,658.05 is: 89,575.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,950.56 : 160,583.54 = 59,658.05 : x
  2. Step 2: Convert to fraction form
    106,950.56/160,583.54 = 59,658.05/x
  3. Step 3: Cross multiply
    106,950.56x = 160,583.54 × 59,658.05
  4. Step 4: Simplify right side
    106,950.56x = 9,580,100,307.89
  5. Step 5: Solve for x
    x = 9,580,100,307.89/106,950.56
  6. Step 6: Final answer
    x = 89,575.04

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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.