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Finding the Fourth Proportional to 201,071.74, 277,480.90 and 110,429.58

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Solution

The fourth proportional to 201,071.74, 277,480.90 and 110,429.58 is: 152,393.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,071.74 : 277,480.90 = 110,429.58 : x
  2. Step 2: Convert to fraction form
    201,071.74/277,480.90 = 110,429.58/x
  3. Step 3: Cross multiply
    201,071.74x = 277,480.90 × 110,429.58
  4. Step 4: Simplify right side
    201,071.74x = 30,642,099,245.02
  5. Step 5: Solve for x
    x = 30,642,099,245.02/201,071.74
  6. Step 6: Final answer
    x = 152,393.86

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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.