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Finding the Fourth Proportional to 289,496.11, 434,276.25 and 99,935

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Solution

The fourth proportional to 289,496.11, 434,276.25 and 99,935 is: 149,913.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,496.11 : 434,276.25 = 99,935 : x
  2. Step 2: Convert to fraction form
    289,496.11/434,276.25 = 99,935/x
  3. Step 3: Cross multiply
    289,496.11x = 434,276.25 × 99,935
  4. Step 4: Simplify right side
    289,496.11x = 43,399,397,043.75
  5. Step 5: Solve for x
    x = 43,399,397,043.75/289,496.11
  6. Step 6: Final answer
    x = 149,913.58

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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.