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Finding the Fourth Proportional to 201,384.33, 277,902.90 and 110,734.90

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Solution

The fourth proportional to 201,384.33, 277,902.90 and 110,734.90 is: 152,810.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,384.33 : 277,902.90 = 110,734.90 : x
  2. Step 2: Convert to fraction form
    201,384.33/277,902.90 = 110,734.90/x
  3. Step 3: Cross multiply
    201,384.33x = 277,902.90 × 110,734.90
  4. Step 4: Simplify right side
    201,384.33x = 30,773,549,146.45
  5. Step 5: Solve for x
    x = 30,773,549,146.45/201,384.33
  6. Step 6: Final answer
    x = 152,810.05

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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.