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Finding the Fourth Proportional to 160,808.42, 241,042.40 and 54,090.78

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Solution

The fourth proportional to 160,808.42, 241,042.40 and 54,090.78 is: 81,078.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,808.42 : 241,042.40 = 54,090.78 : x
  2. Step 2: Convert to fraction form
    160,808.42/241,042.40 = 54,090.78/x
  3. Step 3: Cross multiply
    160,808.42x = 241,042.40 × 54,090.78
  4. Step 4: Simplify right side
    160,808.42x = 13,038,171,429.07
  5. Step 5: Solve for x
    x = 13,038,171,429.07/160,808.42
  6. Step 6: Final answer
    x = 81,078.91

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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.