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Finding the Fourth Proportional to 265,093.29, 365,817.76 and 144,235.04

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Solution

The fourth proportional to 265,093.29, 365,817.76 and 144,235.04 is: 199,038.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,093.29 : 365,817.76 = 144,235.04 : x
  2. Step 2: Convert to fraction form
    265,093.29/365,817.76 = 144,235.04/x
  3. Step 3: Cross multiply
    265,093.29x = 365,817.76 × 144,235.04
  4. Step 4: Simplify right side
    265,093.29x = 52,763,737,056.63
  5. Step 5: Solve for x
    x = 52,763,737,056.63/265,093.29
  6. Step 6: Final answer
    x = 199,038.37

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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.