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Finding the Fourth Proportional to 257,907.50, 386,863.73 and 77,994.34

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Solution

The fourth proportional to 257,907.50, 386,863.73 and 77,994.34 is: 116,992.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,907.50 : 386,863.73 = 77,994.34 : x
  2. Step 2: Convert to fraction form
    257,907.50/386,863.73 = 77,994.34/x
  3. Step 3: Cross multiply
    257,907.50x = 386,863.73 × 77,994.34
  4. Step 4: Simplify right side
    257,907.50x = 30,173,181,291.29
  5. Step 5: Solve for x
    x = 30,173,181,291.29/257,907.50
  6. Step 6: Final answer
    x = 116,992.26

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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.