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Finding the Fourth Proportional to 210,331.70, 315,497.55 and 202,166.90

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Solution

The fourth proportional to 210,331.70, 315,497.55 and 202,166.90 is: 303,250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,331.70 : 315,497.55 = 202,166.90 : x
  2. Step 2: Convert to fraction form
    210,331.70/315,497.55 = 202,166.90/x
  3. Step 3: Cross multiply
    210,331.70x = 315,497.55 × 202,166.90
  4. Step 4: Simplify right side
    210,331.70x = 63,783,161,641.10
  5. Step 5: Solve for x
    x = 63,783,161,641.10/210,331.70
  6. Step 6: Final answer
    x = 303,250.35

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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.