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Finding the Fourth Proportional to 277,496.51, 416,197.82 and 77,770.93

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Solution

The fourth proportional to 277,496.51, 416,197.82 and 77,770.93 is: 116,643.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,496.51 : 416,197.82 = 77,770.93 : x
  2. Step 2: Convert to fraction form
    277,496.51/416,197.82 = 77,770.93/x
  3. Step 3: Cross multiply
    277,496.51x = 416,197.82 × 77,770.93
  4. Step 4: Simplify right side
    277,496.51x = 32,368,091,525.37
  5. Step 5: Solve for x
    x = 32,368,091,525.37/277,496.51
  6. Step 6: Final answer
    x = 116,643.24

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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.