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Finding the Fourth Proportional to 201,386.32, 277,914.06 and 110,748.04

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Solution

The fourth proportional to 201,386.32, 277,914.06 and 110,748.04 is: 152,832.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,386.32 : 277,914.06 = 110,748.04 : x
  2. Step 2: Convert to fraction form
    201,386.32/277,914.06 = 110,748.04/x
  3. Step 3: Cross multiply
    201,386.32x = 277,914.06 × 110,748.04
  4. Step 4: Simplify right side
    201,386.32x = 30,778,437,433.44
  5. Step 5: Solve for x
    x = 30,778,437,433.44/201,386.32
  6. Step 6: Final answer
    x = 152,832.81

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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.