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Finding the Fourth Proportional to 201,088.36, 301,360.38 and 76,361.32

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Solution

The fourth proportional to 201,088.36, 301,360.38 and 76,361.32 is: 114,438.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,088.36 : 301,360.38 = 76,361.32 : x
  2. Step 2: Convert to fraction form
    201,088.36/301,360.38 = 76,361.32/x
  3. Step 3: Cross multiply
    201,088.36x = 301,360.38 × 76,361.32
  4. Step 4: Simplify right side
    201,088.36x = 23,012,276,412.50
  5. Step 5: Solve for x
    x = 23,012,276,412.50/201,088.36
  6. Step 6: Final answer
    x = 114,438.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.