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Finding the Fourth Proportional to 286,125.86, 394,846.16 and 158,798.18

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Solution

The fourth proportional to 286,125.86, 394,846.16 and 158,798.18 is: 219,137.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,125.86 : 394,846.16 = 158,798.18 : x
  2. Step 2: Convert to fraction form
    286,125.86/394,846.16 = 158,798.18/x
  3. Step 3: Cross multiply
    286,125.86x = 394,846.16 × 158,798.18
  4. Step 4: Simplify right side
    286,125.86x = 62,700,851,587.99
  5. Step 5: Solve for x
    x = 62,700,851,587.99/286,125.86
  6. Step 6: Final answer
    x = 219,137.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.