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Finding the Fourth Proportional to 228,451.84, 342,759.72 and 102,081.52

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Solution

The fourth proportional to 228,451.84, 342,759.72 and 102,081.52 is: 153,158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,451.84 : 342,759.72 = 102,081.52 : x
  2. Step 2: Convert to fraction form
    228,451.84/342,759.72 = 102,081.52/x
  3. Step 3: Cross multiply
    228,451.84x = 342,759.72 × 102,081.52
  4. Step 4: Simplify right side
    228,451.84x = 34,989,433,212.37
  5. Step 5: Solve for x
    x = 34,989,433,212.37/228,451.84
  6. Step 6: Final answer
    x = 153,158.90

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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.