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Finding the Fourth Proportional to 289,112.59, 433,690.76 and 89,453.16

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Solution

The fourth proportional to 289,112.59, 433,690.76 and 89,453.16 is: 134,186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,112.59 : 433,690.76 = 89,453.16 : x
  2. Step 2: Convert to fraction form
    289,112.59/433,690.76 = 89,453.16/x
  3. Step 3: Cross multiply
    289,112.59x = 433,690.76 × 89,453.16
  4. Step 4: Simplify right side
    289,112.59x = 38,795,008,665.26
  5. Step 5: Solve for x
    x = 38,795,008,665.26/289,112.59
  6. Step 6: Final answer
    x = 134,186.51

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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.