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Finding the Fourth Proportional to 232,977.31, 349,244.51 and 148,500.34

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Solution

The fourth proportional to 232,977.31, 349,244.51 and 148,500.34 is: 222,609.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,977.31 : 349,244.51 = 148,500.34 : x
  2. Step 2: Convert to fraction form
    232,977.31/349,244.51 = 148,500.34/x
  3. Step 3: Cross multiply
    232,977.31x = 349,244.51 × 148,500.34
  4. Step 4: Simplify right side
    232,977.31x = 51,862,927,697.83
  5. Step 5: Solve for x
    x = 51,862,927,697.83/232,977.31
  6. Step 6: Final answer
    x = 222,609.35

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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.