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Finding the Fourth Proportional to 209,707.70, 314,340.02 and 150,511.28

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Solution

The fourth proportional to 209,707.70, 314,340.02 and 150,511.28 is: 225,607.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,707.70 : 314,340.02 = 150,511.28 : x
  2. Step 2: Convert to fraction form
    209,707.70/314,340.02 = 150,511.28/x
  3. Step 3: Cross multiply
    209,707.70x = 314,340.02 × 150,511.28
  4. Step 4: Simplify right side
    209,707.70x = 47,311,718,012.87
  5. Step 5: Solve for x
    x = 47,311,718,012.87/209,707.70
  6. Step 6: Final answer
    x = 225,607.92

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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.