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Finding the Fourth Proportional to 102,063.87, 152,912.10 and 96,059.94

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Solution

The fourth proportional to 102,063.87, 152,912.10 and 96,059.94 is: 143,917.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,063.87 : 152,912.10 = 96,059.94 : x
  2. Step 2: Convert to fraction form
    102,063.87/152,912.10 = 96,059.94/x
  3. Step 3: Cross multiply
    102,063.87x = 152,912.10 × 96,059.94
  4. Step 4: Simplify right side
    102,063.87x = 14,688,727,151.27
  5. Step 5: Solve for x
    x = 14,688,727,151.27/102,063.87
  6. Step 6: Final answer
    x = 143,917.01

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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.