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Finding the Fourth Proportional to 201,206.93, 277,648.94 and 110,558.21

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Solution

The fourth proportional to 201,206.93, 277,648.94 and 110,558.21 is: 152,561.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,206.93 : 277,648.94 = 110,558.21 : x
  2. Step 2: Convert to fraction form
    201,206.93/277,648.94 = 110,558.21/x
  3. Step 3: Cross multiply
    201,206.93x = 277,648.94 × 110,558.21
  4. Step 4: Simplify right side
    201,206.93x = 30,696,368,702.95
  5. Step 5: Solve for x
    x = 30,696,368,702.95/201,206.93
  6. Step 6: Final answer
    x = 152,561.19

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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.