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Finding the Fourth Proportional to 289,443.36, 434,125.62 and 76,193.40

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Solution

The fourth proportional to 289,443.36, 434,125.62 and 76,193.40 is: 114,279.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,443.36 : 434,125.62 = 76,193.40 : x
  2. Step 2: Convert to fraction form
    289,443.36/434,125.62 = 76,193.40/x
  3. Step 3: Cross multiply
    289,443.36x = 434,125.62 × 76,193.40
  4. Step 4: Simplify right side
    289,443.36x = 33,077,507,014.91
  5. Step 5: Solve for x
    x = 33,077,507,014.91/289,443.36
  6. Step 6: Final answer
    x = 114,279.72

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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.