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Finding the Fourth Proportional to 274,531.36, 378,835.72 and 153,652.32

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Solution

The fourth proportional to 274,531.36, 378,835.72 and 153,652.32 is: 212,030.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,531.36 : 378,835.72 = 153,652.32 : x
  2. Step 2: Convert to fraction form
    274,531.36/378,835.72 = 153,652.32/x
  3. Step 3: Cross multiply
    274,531.36x = 378,835.72 × 153,652.32
  4. Step 4: Simplify right side
    274,531.36x = 58,208,987,276.87
  5. Step 5: Solve for x
    x = 58,208,987,276.87/274,531.36
  6. Step 6: Final answer
    x = 212,030.38

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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.