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Finding the Fourth Proportional to 99,813.20, 149,792.70 and 70,288.70

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Solution

The fourth proportional to 99,813.20, 149,792.70 and 70,288.70 is: 105,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,813.20 : 149,792.70 = 70,288.70 : x
  2. Step 2: Convert to fraction form
    99,813.20/149,792.70 = 70,288.70/x
  3. Step 3: Cross multiply
    99,813.20x = 149,792.70 × 70,288.70
  4. Step 4: Simplify right side
    99,813.20x = 10,528,734,152.49
  5. Step 5: Solve for x
    x = 10,528,734,152.49/99,813.20
  6. Step 6: Final answer
    x = 105,484.39

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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.