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Finding the Fourth Proportional to 102,516.50, 153,800.70 and 28,644.50

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Solution

The fourth proportional to 102,516.50, 153,800.70 and 28,644.50 is: 42,974.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,516.50 : 153,800.70 = 28,644.50 : x
  2. Step 2: Convert to fraction form
    102,516.50/153,800.70 = 28,644.50/x
  3. Step 3: Cross multiply
    102,516.50x = 153,800.70 × 28,644.50
  4. Step 4: Simplify right side
    102,516.50x = 4,405,544,151.15
  5. Step 5: Solve for x
    x = 4,405,544,151.15/102,516.50
  6. Step 6: Final answer
    x = 42,974.00

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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.