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Finding the Fourth Proportional to 153,830.98, 230,849.44 and 53,991.64

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Solution

The fourth proportional to 153,830.98, 230,849.44 and 53,991.64 is: 81,023.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,830.98 : 230,849.44 = 53,991.64 : x
  2. Step 2: Convert to fraction form
    153,830.98/230,849.44 = 53,991.64/x
  3. Step 3: Cross multiply
    153,830.98x = 230,849.44 × 53,991.64
  4. Step 4: Simplify right side
    153,830.98x = 12,463,939,858.68
  5. Step 5: Solve for x
    x = 12,463,939,858.68/153,830.98
  6. Step 6: Final answer
    x = 81,023.60

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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.