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Finding the Fourth Proportional to 201,346.54, 277,852.34 and 110,702.42

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Solution

The fourth proportional to 201,346.54, 277,852.34 and 110,702.42 is: 152,766.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,346.54 : 277,852.34 = 110,702.42 : x
  2. Step 2: Convert to fraction form
    201,346.54/277,852.34 = 110,702.42/x
  3. Step 3: Cross multiply
    201,346.54x = 277,852.34 × 110,702.42
  4. Step 4: Simplify right side
    201,346.54x = 30,758,926,440.66
  5. Step 5: Solve for x
    x = 30,758,926,440.66/201,346.54
  6. Step 6: Final answer
    x = 152,766.10

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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.