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Finding the Fourth Proportional to 209,713.40, 313,955.70 and 185,137.40

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Solution

The fourth proportional to 209,713.40, 313,955.70 and 185,137.40 is: 277,163.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,713.40 : 313,955.70 = 185,137.40 : x
  2. Step 2: Convert to fraction form
    209,713.40/313,955.70 = 185,137.40/x
  3. Step 3: Cross multiply
    209,713.40x = 313,955.70 × 185,137.40
  4. Step 4: Simplify right side
    209,713.40x = 58,124,942,013.18
  5. Step 5: Solve for x
    x = 58,124,942,013.18/209,713.40
  6. Step 6: Final answer
    x = 277,163.70

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1.5x scale

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.