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Finding the Fourth Proportional to 159,802.88, 239,717.76 and 54,629.12

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Solution

The fourth proportional to 159,802.88, 239,717.76 and 54,629.12 is: 81,948.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,802.88 : 239,717.76 = 54,629.12 : x
  2. Step 2: Convert to fraction form
    159,802.88/239,717.76 = 54,629.12/x
  3. Step 3: Cross multiply
    159,802.88x = 239,717.76 × 54,629.12
  4. Step 4: Simplify right side
    159,802.88x = 13,095,570,277.17
  5. Step 5: Solve for x
    x = 13,095,570,277.17/159,802.88
  6. Step 6: Final answer
    x = 81,948.27

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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.