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Finding the Fourth Proportional to 222,603.74, 333,944.49 and 97,941.50

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Solution

The fourth proportional to 222,603.74, 333,944.49 and 97,941.50 is: 146,929.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,603.74 : 333,944.49 = 97,941.50 : x
  2. Step 2: Convert to fraction form
    222,603.74/333,944.49 = 97,941.50/x
  3. Step 3: Cross multiply
    222,603.74x = 333,944.49 × 97,941.50
  4. Step 4: Simplify right side
    222,603.74x = 32,707,024,267.34
  5. Step 5: Solve for x
    x = 32,707,024,267.34/222,603.74
  6. Step 6: Final answer
    x = 146,929.36

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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.