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Finding the Fourth Proportional to 274,525.96, 378,852.24 and 153,664.24

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Solution

The fourth proportional to 274,525.96, 378,852.24 and 153,664.24 is: 212,060.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,525.96 : 378,852.24 = 153,664.24 : x
  2. Step 2: Convert to fraction form
    274,525.96/378,852.24 = 153,664.24/x
  3. Step 3: Cross multiply
    274,525.96x = 378,852.24 × 153,664.24
  4. Step 4: Simplify right side
    274,525.96x = 58,216,041,531.90
  5. Step 5: Solve for x
    x = 58,216,041,531.90/274,525.96
  6. Step 6: Final answer
    x = 212,060.24

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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.