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Finding the Fourth Proportional to 248,407.76, 342,847.42 and 146,427.17

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Solution

The fourth proportional to 248,407.76, 342,847.42 and 146,427.17 is: 202,095.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,407.76 : 342,847.42 = 146,427.17 : x
  2. Step 2: Convert to fraction form
    248,407.76/342,847.42 = 146,427.17/x
  3. Step 3: Cross multiply
    248,407.76x = 342,847.42 × 146,427.17
  4. Step 4: Simplify right side
    248,407.76x = 50,202,175,372.10
  5. Step 5: Solve for x
    x = 50,202,175,372.10/248,407.76
  6. Step 6: Final answer
    x = 202,095.84

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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.