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Finding the Fourth Proportional to 228,032.70, 342,049.05 and 61,820.70

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Solution

The fourth proportional to 228,032.70, 342,049.05 and 61,820.70 is: 92,731.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,032.70 : 342,049.05 = 61,820.70 : x
  2. Step 2: Convert to fraction form
    228,032.70/342,049.05 = 61,820.70/x
  3. Step 3: Cross multiply
    228,032.70x = 342,049.05 × 61,820.70
  4. Step 4: Simplify right side
    228,032.70x = 21,145,711,705.34
  5. Step 5: Solve for x
    x = 21,145,711,705.34/228,032.70
  6. Step 6: Final answer
    x = 92,731.05

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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.