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Finding the Fourth Proportional to 310,173.12, 428,078.88 and 189,288.72

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Solution

The fourth proportional to 310,173.12, 428,078.88 and 189,288.72 is: 261,242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,173.12 : 428,078.88 = 189,288.72 : x
  2. Step 2: Convert to fraction form
    310,173.12/428,078.88 = 189,288.72/x
  3. Step 3: Cross multiply
    310,173.12x = 428,078.88 × 189,288.72
  4. Step 4: Simplify right side
    310,173.12x = 81,030,503,254.23
  5. Step 5: Solve for x
    x = 81,030,503,254.23/310,173.12
  6. Step 6: Final answer
    x = 261,242.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.