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Finding the Fourth Proportional to 170,451, 235,222.60 and 102,468.72

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Solution

The fourth proportional to 170,451, 235,222.60 and 102,468.72 is: 141,406.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,451 : 235,222.60 = 102,468.72 : x
  2. Step 2: Convert to fraction form
    170,451/235,222.60 = 102,468.72/x
  3. Step 3: Cross multiply
    170,451x = 235,222.60 × 102,468.72
  4. Step 4: Simplify right side
    170,451x = 24,102,958,737.07
  5. Step 5: Solve for x
    x = 24,102,958,737.07/170,451
  6. Step 6: Final answer
    x = 141,406.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.