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Finding the Fourth Proportional to 153,762.37, 230,659.97 and 65,024.85

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Solution

The fourth proportional to 153,762.37, 230,659.97 and 65,024.85 is: 97,544.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,762.37 : 230,659.97 = 65,024.85 : x
  2. Step 2: Convert to fraction form
    153,762.37/230,659.97 = 65,024.85/x
  3. Step 3: Cross multiply
    153,762.37x = 230,659.97 × 65,024.85
  4. Step 4: Simplify right side
    153,762.37x = 14,998,629,950.25
  5. Step 5: Solve for x
    x = 14,998,629,950.25/153,762.37
  6. Step 6: Final answer
    x = 97,544.22

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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.