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Finding the Fourth Proportional to 153,761.74, 230,652.34 and 65,003.56

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Solution

The fourth proportional to 153,761.74, 230,652.34 and 65,003.56 is: 97,509.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,761.74 : 230,652.34 = 65,003.56 : x
  2. Step 2: Convert to fraction form
    153,761.74/230,652.34 = 65,003.56/x
  3. Step 3: Cross multiply
    153,761.74x = 230,652.34 × 65,003.56
  4. Step 4: Simplify right side
    153,761.74x = 14,993,223,222.33
  5. Step 5: Solve for x
    x = 14,993,223,222.33/153,761.74
  6. Step 6: Final answer
    x = 97,509.45

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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.