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Finding the Fourth Proportional to 289,533.66, 434,193.74 and 99,945.78

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Solution

The fourth proportional to 289,533.66, 434,193.74 and 99,945.78 is: 149,881.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,533.66 : 434,193.74 = 99,945.78 : x
  2. Step 2: Convert to fraction form
    289,533.66/434,193.74 = 99,945.78/x
  3. Step 3: Cross multiply
    289,533.66x = 434,193.74 × 99,945.78
  4. Step 4: Simplify right side
    289,533.66x = 43,395,832,015.42
  5. Step 5: Solve for x
    x = 43,395,832,015.42/289,533.66
  6. Step 6: Final answer
    x = 149,881.82

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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.