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Finding the Fourth Proportional to 210,324.70, 315,487.05 and 202,159.90

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Solution

The fourth proportional to 210,324.70, 315,487.05 and 202,159.90 is: 303,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,324.70 : 315,487.05 = 202,159.90 : x
  2. Step 2: Convert to fraction form
    210,324.70/315,487.05 = 202,159.90/x
  3. Step 3: Cross multiply
    210,324.70x = 315,487.05 × 202,159.90
  4. Step 4: Simplify right side
    210,324.70x = 63,778,830,479.30
  5. Step 5: Solve for x
    x = 63,778,830,479.30/210,324.70
  6. Step 6: Final answer
    x = 303,239.85

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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.