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Finding the Fourth Proportional to 200,852.74, 277,186.80 and 114,816.16

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Solution

The fourth proportional to 200,852.74, 277,186.80 and 114,816.16 is: 158,452.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,852.74 : 277,186.80 = 114,816.16 : x
  2. Step 2: Convert to fraction form
    200,852.74/277,186.80 = 114,816.16/x
  3. Step 3: Cross multiply
    200,852.74x = 277,186.80 × 114,816.16
  4. Step 4: Simplify right side
    200,852.74x = 31,825,523,978.69
  5. Step 5: Solve for x
    x = 31,825,523,978.69/200,852.74
  6. Step 6: Final answer
    x = 158,452.03

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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.