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Finding the Fourth Proportional to 265,564.05, 366,473.64 and 144,706.38

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Solution

The fourth proportional to 265,564.05, 366,473.64 and 144,706.38 is: 199,692.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,564.05 : 366,473.64 = 144,706.38 : x
  2. Step 2: Convert to fraction form
    265,564.05/366,473.64 = 144,706.38/x
  3. Step 3: Cross multiply
    265,564.05x = 366,473.64 × 144,706.38
  4. Step 4: Simplify right side
    265,564.05x = 53,031,073,809.82
  5. Step 5: Solve for x
    x = 53,031,073,809.82/265,564.05
  6. Step 6: Final answer
    x = 199,692.22

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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.