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Finding the Fourth Proportional to 265,601, 366,529.38 and 146,369

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Solution

The fourth proportional to 265,601, 366,529.38 and 146,369 is: 201,989.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,601 : 366,529.38 = 146,369 : x
  2. Step 2: Convert to fraction form
    265,601/366,529.38 = 146,369/x
  3. Step 3: Cross multiply
    265,601x = 366,529.38 × 146,369
  4. Step 4: Simplify right side
    265,601x = 53,648,538,821.22
  5. Step 5: Solve for x
    x = 53,648,538,821.22/265,601
  6. Step 6: Final answer
    x = 201,989.22

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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.