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Finding the Fourth Proportional to 236,297.80, 354,479.10 and 78,509.80

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Solution

The fourth proportional to 236,297.80, 354,479.10 and 78,509.80 is: 117,775.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,297.80 : 354,479.10 = 78,509.80 : x
  2. Step 2: Convert to fraction form
    236,297.80/354,479.10 = 78,509.80/x
  3. Step 3: Cross multiply
    236,297.80x = 354,479.10 × 78,509.80
  4. Step 4: Simplify right side
    236,297.80x = 27,830,083,245.18
  5. Step 5: Solve for x
    x = 27,830,083,245.18/236,297.80
  6. Step 6: Final answer
    x = 117,775.46

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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.