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Finding the Fourth Proportional to 222,641.84, 333,969.24 and 64,866.80

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Solution

The fourth proportional to 222,641.84, 333,969.24 and 64,866.80 is: 97,302.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,641.84 : 333,969.24 = 64,866.80 : x
  2. Step 2: Convert to fraction form
    222,641.84/333,969.24 = 64,866.80/x
  3. Step 3: Cross multiply
    222,641.84x = 333,969.24 × 64,866.80
  4. Step 4: Simplify right side
    222,641.84x = 21,663,515,897.23
  5. Step 5: Solve for x
    x = 21,663,515,897.23/222,641.84
  6. Step 6: Final answer
    x = 97,302.09

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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.