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Finding the Fourth Proportional to 265,093.56, 365,830.70 and 144,235.76

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Solution

The fourth proportional to 265,093.56, 365,830.70 and 144,235.76 is: 199,046.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,093.56 : 365,830.70 = 144,235.76 : x
  2. Step 2: Convert to fraction form
    265,093.56/365,830.70 = 144,235.76/x
  3. Step 3: Cross multiply
    265,093.56x = 365,830.70 × 144,235.76
  4. Step 4: Simplify right side
    265,093.56x = 52,765,866,495.50
  5. Step 5: Solve for x
    x = 52,765,866,495.50/265,093.56
  6. Step 6: Final answer
    x = 199,046.20

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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.