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Finding the Fourth Proportional to 265,093.13, 365,817.57 and 144,234.90

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Solution

The fourth proportional to 265,093.13, 365,817.57 and 144,234.90 is: 199,038.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,093.13 : 365,817.57 = 144,234.90 : x
  2. Step 2: Convert to fraction form
    265,093.13/365,817.57 = 144,234.90/x
  3. Step 3: Cross multiply
    265,093.13x = 365,817.57 × 144,234.90
  4. Step 4: Simplify right side
    265,093.13x = 52,763,660,627.19
  5. Step 5: Solve for x
    x = 52,763,660,627.19/265,093.13
  6. Step 6: Final answer
    x = 199,038.20

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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.