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Finding the Fourth Proportional to 241,893.16, 333,819.78 and 146,417.32

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Solution

The fourth proportional to 241,893.16, 333,819.78 and 146,417.32 is: 202,060.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,893.16 : 333,819.78 = 146,417.32 : x
  2. Step 2: Convert to fraction form
    241,893.16/333,819.78 = 146,417.32/x
  3. Step 3: Cross multiply
    241,893.16x = 333,819.78 × 146,417.32
  4. Step 4: Simplify right side
    241,893.16x = 48,876,997,550.59
  5. Step 5: Solve for x
    x = 48,876,997,550.59/241,893.16
  6. Step 6: Final answer
    x = 202,060.27

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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.