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Finding the Fourth Proportional to 277,821.51, 416,732.27 and 67,458.03

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Solution

The fourth proportional to 277,821.51, 416,732.27 and 67,458.03 is: 101,187.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,821.51 : 416,732.27 = 67,458.03 : x
  2. Step 2: Convert to fraction form
    277,821.51/416,732.27 = 67,458.03/x
  3. Step 3: Cross multiply
    277,821.51x = 416,732.27 × 67,458.03
  4. Step 4: Simplify right side
    277,821.51x = 28,111,937,634.34
  5. Step 5: Solve for x
    x = 28,111,937,634.34/277,821.51
  6. Step 6: Final answer
    x = 101,187.05

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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.