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Finding the Fourth Proportional to 248,077.46, 342,372.31 and 146,135

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Solution

The fourth proportional to 248,077.46, 342,372.31 and 146,135 is: 201,681.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,077.46 : 342,372.31 = 146,135 : x
  2. Step 2: Convert to fraction form
    248,077.46/342,372.31 = 146,135/x
  3. Step 3: Cross multiply
    248,077.46x = 342,372.31 × 146,135
  4. Step 4: Simplify right side
    248,077.46x = 50,032,577,521.85
  5. Step 5: Solve for x
    x = 50,032,577,521.85/248,077.46
  6. Step 6: Final answer
    x = 201,681.27

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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.