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Finding the Fourth Proportional to 261,410.09, 392,115.30 and 128,259.46

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Solution

The fourth proportional to 261,410.09, 392,115.30 and 128,259.46 is: 192,389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,410.09 : 392,115.30 = 128,259.46 : x
  2. Step 2: Convert to fraction form
    261,410.09/392,115.30 = 128,259.46/x
  3. Step 3: Cross multiply
    261,410.09x = 392,115.30 × 128,259.46
  4. Step 4: Simplify right side
    261,410.09x = 50,292,494,033.86
  5. Step 5: Solve for x
    x = 50,292,494,033.86/261,410.09
  6. Step 6: Final answer
    x = 192,389.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.