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Finding the Fourth Proportional to 157,647.20, 236,470.80 and 98,664.80

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Solution

The fourth proportional to 157,647.20, 236,470.80 and 98,664.80 is: 147,997.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,647.20 : 236,470.80 = 98,664.80 : x
  2. Step 2: Convert to fraction form
    157,647.20/236,470.80 = 98,664.80/x
  3. Step 3: Cross multiply
    157,647.20x = 236,470.80 × 98,664.80
  4. Step 4: Simplify right side
    157,647.20x = 23,331,344,187.84
  5. Step 5: Solve for x
    x = 23,331,344,187.84/157,647.20
  6. Step 6: Final answer
    x = 147,997.20

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Why These Related Problems?

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