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Finding the Fourth Proportional to 277,112.64, 382,415.36 and 149,788.16

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Solution

The fourth proportional to 277,112.64, 382,415.36 and 149,788.16 is: 206,707.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,112.64 : 382,415.36 = 149,788.16 : x
  2. Step 2: Convert to fraction form
    277,112.64/382,415.36 = 149,788.16/x
  3. Step 3: Cross multiply
    277,112.64x = 382,415.36 × 149,788.16
  4. Step 4: Simplify right side
    277,112.64x = 57,281,293,130.14
  5. Step 5: Solve for x
    x = 57,281,293,130.14/277,112.64
  6. Step 6: Final answer
    x = 206,707.62

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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.