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Finding the Fourth Proportional to 215,696.52, 297,461.16 and 147,812.04

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Solution

The fourth proportional to 215,696.52, 297,461.16 and 147,812.04 is: 203,843.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,696.52 : 297,461.16 = 147,812.04 : x
  2. Step 2: Convert to fraction form
    215,696.52/297,461.16 = 147,812.04/x
  3. Step 3: Cross multiply
    215,696.52x = 297,461.16 × 147,812.04
  4. Step 4: Simplify right side
    215,696.52x = 43,968,340,880.37
  5. Step 5: Solve for x
    x = 43,968,340,880.37/215,696.52
  6. Step 6: Final answer
    x = 203,843.53

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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.