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Finding the Fourth Proportional to 261,754.02, 361,239.21 and 148,584.06

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Solution

The fourth proportional to 261,754.02, 361,239.21 and 148,584.06 is: 205,056.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,754.02 : 361,239.21 = 148,584.06 : x
  2. Step 2: Convert to fraction form
    261,754.02/361,239.21 = 148,584.06/x
  3. Step 3: Cross multiply
    261,754.02x = 361,239.21 × 148,584.06
  4. Step 4: Simplify right side
    261,754.02x = 53,674,388,452.99
  5. Step 5: Solve for x
    x = 53,674,388,452.99/261,754.02
  6. Step 6: Final answer
    x = 205,056.60

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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.