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Finding the Fourth Proportional to 356,893.94, 492,514.35 and 195,750.32

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Solution

The fourth proportional to 356,893.94, 492,514.35 and 195,750.32 is: 270,135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,893.94 : 492,514.35 = 195,750.32 : x
  2. Step 2: Convert to fraction form
    356,893.94/492,514.35 = 195,750.32/x
  3. Step 3: Cross multiply
    356,893.94x = 492,514.35 × 195,750.32
  4. Step 4: Simplify right side
    356,893.94x = 96,409,839,154.52
  5. Step 5: Solve for x
    x = 96,409,839,154.52/356,893.94
  6. Step 6: Final answer
    x = 270,135.82

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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.