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Finding the Fourth Proportional to 147,903.54, 221,855.04 and 35,583.66

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Solution

The fourth proportional to 147,903.54, 221,855.04 and 35,583.66 is: 53,375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,903.54 : 221,855.04 = 35,583.66 : x
  2. Step 2: Convert to fraction form
    147,903.54/221,855.04 = 35,583.66/x
  3. Step 3: Cross multiply
    147,903.54x = 221,855.04 × 35,583.66
  4. Step 4: Simplify right side
    147,903.54x = 7,894,414,312.65
  5. Step 5: Solve for x
    x = 7,894,414,312.65/147,903.54
  6. Step 6: Final answer
    x = 53,375.43

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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.