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Finding the Fourth Proportional to 202,420.90, 277,315.36 and 194,851.15

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Solution

The fourth proportional to 202,420.90, 277,315.36 and 194,851.15 is: 266,944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,420.90 : 277,315.36 = 194,851.15 : x
  2. Step 2: Convert to fraction form
    202,420.90/277,315.36 = 194,851.15/x
  3. Step 3: Cross multiply
    202,420.90x = 277,315.36 × 194,851.15
  4. Step 4: Simplify right side
    202,420.90x = 54,035,216,808.66
  5. Step 5: Solve for x
    x = 54,035,216,808.66/202,420.90
  6. Step 6: Final answer
    x = 266,944.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.