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Finding the Fourth Proportional to 275,123.41, 412,803.92 and 148,852.63

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Solution

The fourth proportional to 275,123.41, 412,803.92 and 148,852.63 is: 223,343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,123.41 : 412,803.92 = 148,852.63 : x
  2. Step 2: Convert to fraction form
    275,123.41/412,803.92 = 148,852.63/x
  3. Step 3: Cross multiply
    275,123.41x = 412,803.92 × 148,852.63
  4. Step 4: Simplify right side
    275,123.41x = 61,446,949,166.31
  5. Step 5: Solve for x
    x = 61,446,949,166.31/275,123.41
  6. Step 6: Final answer
    x = 223,343.22

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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.