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Finding the Fourth Proportional to 150,124.74, 225,059.94 and 65,821.02

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Solution

The fourth proportional to 150,124.74, 225,059.94 and 65,821.02 is: 98,675.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,124.74 : 225,059.94 = 65,821.02 : x
  2. Step 2: Convert to fraction form
    150,124.74/225,059.94 = 65,821.02/x
  3. Step 3: Cross multiply
    150,124.74x = 225,059.94 × 65,821.02
  4. Step 4: Simplify right side
    150,124.74x = 14,813,674,811.94
  5. Step 5: Solve for x
    x = 14,813,674,811.94/150,124.74
  6. Step 6: Final answer
    x = 98,675.77

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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.