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Finding the Fourth Proportional to 102,521.22, 141,480.45 and 57,809.22

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Solution

The fourth proportional to 102,521.22, 141,480.45 and 57,809.22 is: 79,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,521.22 : 141,480.45 = 57,809.22 : x
  2. Step 2: Convert to fraction form
    102,521.22/141,480.45 = 57,809.22/x
  3. Step 3: Cross multiply
    102,521.22x = 141,480.45 × 57,809.22
  4. Step 4: Simplify right side
    102,521.22x = 8,178,874,459.75
  5. Step 5: Solve for x
    x = 8,178,874,459.75/102,521.22
  6. Step 6: Final answer
    x = 79,777.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.