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Finding the Fourth Proportional to 228,498.92, 342,818.45 and 102,245.45

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Solution

The fourth proportional to 228,498.92, 342,818.45 and 102,245.45 is: 153,399.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,498.92 : 342,818.45 = 102,245.45 : x
  2. Step 2: Convert to fraction form
    228,498.92/342,818.45 = 102,245.45/x
  3. Step 3: Cross multiply
    228,498.92x = 342,818.45 × 102,245.45
  4. Step 4: Simplify right side
    228,498.92x = 35,051,626,688.55
  5. Step 5: Solve for x
    x = 35,051,626,688.55/228,498.92
  6. Step 6: Final answer
    x = 153,399.53

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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.