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Finding the Fourth Proportional to 289,495.11, 434,274.75 and 99,934

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Solution

The fourth proportional to 289,495.11, 434,274.75 and 99,934 is: 149,912.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,495.11 : 434,274.75 = 99,934 : x
  2. Step 2: Convert to fraction form
    289,495.11/434,274.75 = 99,934/x
  3. Step 3: Cross multiply
    289,495.11x = 434,274.75 × 99,934
  4. Step 4: Simplify right side
    289,495.11x = 43,398,812,866.50
  5. Step 5: Solve for x
    x = 43,398,812,866.50/289,495.11
  6. Step 6: Final answer
    x = 149,912.08

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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.