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Finding the Fourth Proportional to 148,509.90, 204,924.78 and 84,851.82

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Solution

The fourth proportional to 148,509.90, 204,924.78 and 84,851.82 is: 117,084.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,509.90 : 204,924.78 = 84,851.82 : x
  2. Step 2: Convert to fraction form
    148,509.90/204,924.78 = 84,851.82/x
  3. Step 3: Cross multiply
    148,509.90x = 204,924.78 × 84,851.82
  4. Step 4: Simplify right side
    148,509.90x = 17,388,240,546.10
  5. Step 5: Solve for x
    x = 17,388,240,546.10/148,509.90
  6. Step 6: Final answer
    x = 117,084.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.