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Finding the Fourth Proportional to 159,005.60, 238,493.72 and 53,812.48

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Solution

The fourth proportional to 159,005.60, 238,493.72 and 53,812.48 is: 80,713.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,005.60 : 238,493.72 = 53,812.48 : x
  2. Step 2: Convert to fraction form
    159,005.60/238,493.72 = 53,812.48/x
  3. Step 3: Cross multiply
    159,005.60x = 238,493.72 × 53,812.48
  4. Step 4: Simplify right side
    159,005.60x = 12,833,938,537.63
  5. Step 5: Solve for x
    x = 12,833,938,537.63/159,005.60
  6. Step 6: Final answer
    x = 80,713.75

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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.