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Finding the Fourth Proportional to 265,684.47, 366,637.23 and 144,828.11

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Solution

The fourth proportional to 265,684.47, 366,637.23 and 144,828.11 is: 199,858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,684.47 : 366,637.23 = 144,828.11 : x
  2. Step 2: Convert to fraction form
    265,684.47/366,637.23 = 144,828.11/x
  3. Step 3: Cross multiply
    265,684.47x = 366,637.23 × 144,828.11
  4. Step 4: Simplify right side
    265,684.47x = 53,099,375,243.35
  5. Step 5: Solve for x
    x = 53,099,375,243.35/265,684.47
  6. Step 6: Final answer
    x = 199,858.78

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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.