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Finding the Fourth Proportional to 265,223.30, 366,017.13 and 144,369

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Solution

The fourth proportional to 265,223.30, 366,017.13 and 144,369 is: 199,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,223.30 : 366,017.13 = 144,369 : x
  2. Step 2: Convert to fraction form
    265,223.30/366,017.13 = 144,369/x
  3. Step 3: Cross multiply
    265,223.30x = 366,017.13 × 144,369
  4. Step 4: Simplify right side
    265,223.30x = 52,841,527,040.97
  5. Step 5: Solve for x
    x = 52,841,527,040.97/265,223.30
  6. Step 6: Final answer
    x = 199,234.11

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