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Finding the Fourth Proportional to 201,151, 301,765.40 and 76,482.28

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Solution

The fourth proportional to 201,151, 301,765.40 and 76,482.28 is: 114,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,151 : 301,765.40 = 76,482.28 : x
  2. Step 2: Convert to fraction form
    201,151/301,765.40 = 76,482.28/x
  3. Step 3: Cross multiply
    201,151x = 301,765.40 × 76,482.28
  4. Step 4: Simplify right side
    201,151x = 23,079,705,817.11
  5. Step 5: Solve for x
    x = 23,079,705,817.11/201,151
  6. Step 6: Final answer
    x = 114,738.21

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