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Finding the Fourth Proportional to 265,812.17, 366,829.65 and 144,960.05

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Solution

The fourth proportional to 265,812.17, 366,829.65 and 144,960.05 is: 200,049.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,812.17 : 366,829.65 = 144,960.05 : x
  2. Step 2: Convert to fraction form
    265,812.17/366,829.65 = 144,960.05/x
  3. Step 3: Cross multiply
    265,812.17x = 366,829.65 × 144,960.05
  4. Step 4: Simplify right side
    265,812.17x = 53,175,644,405.48
  5. Step 5: Solve for x
    x = 53,175,644,405.48/265,812.17
  6. Step 6: Final answer
    x = 200,049.70

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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.