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Finding the Fourth Proportional to 201,222, 277,687.44 and 111,798

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Solution

The fourth proportional to 201,222, 277,687.44 and 111,798 is: 154,281.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,222 : 277,687.44 = 111,798 : x
  2. Step 2: Convert to fraction form
    201,222/277,687.44 = 111,798/x
  3. Step 3: Cross multiply
    201,222x = 277,687.44 × 111,798
  4. Step 4: Simplify right side
    201,222x = 31,044,900,417.12
  5. Step 5: Solve for x
    x = 31,044,900,417.12/201,222
  6. Step 6: Final answer
    x = 154,281.84

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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.