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Finding the Fourth Proportional to 213,737.70, 320,606.55 and 205,572.90

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Solution

The fourth proportional to 213,737.70, 320,606.55 and 205,572.90 is: 308,359.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,737.70 : 320,606.55 = 205,572.90 : x
  2. Step 2: Convert to fraction form
    213,737.70/320,606.55 = 205,572.90/x
  3. Step 3: Cross multiply
    213,737.70x = 320,606.55 × 205,572.90
  4. Step 4: Simplify right side
    213,737.70x = 65,908,018,242.50
  5. Step 5: Solve for x
    x = 65,908,018,242.50/213,737.70
  6. Step 6: Final answer
    x = 308,359.35

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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.