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Finding the Fourth Proportional to 261,674.37, 361,109.61 and 146,937.06

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Solution

The fourth proportional to 261,674.37, 361,109.61 and 146,937.06 is: 202,772.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,674.37 : 361,109.61 = 146,937.06 : x
  2. Step 2: Convert to fraction form
    261,674.37/361,109.61 = 146,937.06/x
  3. Step 3: Cross multiply
    261,674.37x = 361,109.61 × 146,937.06
  4. Step 4: Simplify right side
    261,674.37x = 53,060,384,431.15
  5. Step 5: Solve for x
    x = 53,060,384,431.15/261,674.37
  6. Step 6: Final answer
    x = 202,772.57

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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.