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Finding the Fourth Proportional to 157,649.42, 236,509.77 and 52,472.54

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Solution

The fourth proportional to 157,649.42, 236,509.77 and 52,472.54 is: 78,720.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,649.42 : 236,509.77 = 52,472.54 : x
  2. Step 2: Convert to fraction form
    157,649.42/236,509.77 = 52,472.54/x
  3. Step 3: Cross multiply
    157,649.42x = 236,509.77 × 52,472.54
  4. Step 4: Simplify right side
    157,649.42x = 12,410,269,154.76
  5. Step 5: Solve for x
    x = 12,410,269,154.76/157,649.42
  6. Step 6: Final answer
    x = 78,720.68

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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.