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Finding the Fourth Proportional to 253,294.76, 379,566.16 and 140,820.26

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Solution

The fourth proportional to 253,294.76, 379,566.16 and 140,820.26 is: 211,021.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,294.76 : 379,566.16 = 140,820.26 : x
  2. Step 2: Convert to fraction form
    253,294.76/379,566.16 = 140,820.26/x
  3. Step 3: Cross multiply
    253,294.76x = 379,566.16 × 140,820.26
  4. Step 4: Simplify right side
    253,294.76x = 53,450,603,088.52
  5. Step 5: Solve for x
    x = 53,450,603,088.52/253,294.76
  6. Step 6: Final answer
    x = 211,021.35

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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.