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Finding the Fourth Proportional to 201,018.64, 277,408.88 and 110,382.75

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Solution

The fourth proportional to 201,018.64, 277,408.88 and 110,382.75 is: 152,329.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,018.64 : 277,408.88 = 110,382.75 : x
  2. Step 2: Convert to fraction form
    201,018.64/277,408.88 = 110,382.75/x
  3. Step 3: Cross multiply
    201,018.64x = 277,408.88 × 110,382.75
  4. Step 4: Simplify right side
    201,018.64x = 30,621,154,600.39
  5. Step 5: Solve for x
    x = 30,621,154,600.39/201,018.64
  6. Step 6: Final answer
    x = 152,329.93

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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.