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Finding the Fourth Proportional to 159,214.88, 238,784.02 and 46,864.58

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Solution

The fourth proportional to 159,214.88, 238,784.02 and 46,864.58 is: 70,285.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,214.88 : 238,784.02 = 46,864.58 : x
  2. Step 2: Convert to fraction form
    159,214.88/238,784.02 = 46,864.58/x
  3. Step 3: Cross multiply
    159,214.88x = 238,784.02 × 46,864.58
  4. Step 4: Simplify right side
    159,214.88x = 11,190,511,496.93
  5. Step 5: Solve for x
    x = 11,190,511,496.93/159,214.88
  6. Step 6: Final answer
    x = 70,285.59

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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.