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Finding the Fourth Proportional to 213,564.64, 294,703.68 and 118,072.48

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Solution

The fourth proportional to 213,564.64, 294,703.68 and 118,072.48 is: 162,931.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,564.64 : 294,703.68 = 118,072.48 : x
  2. Step 2: Convert to fraction form
    213,564.64/294,703.68 = 118,072.48/x
  3. Step 3: Cross multiply
    213,564.64x = 294,703.68 × 118,072.48
  4. Step 4: Simplify right side
    213,564.64x = 34,796,394,362.73
  5. Step 5: Solve for x
    x = 34,796,394,362.73/213,564.64
  6. Step 6: Final answer
    x = 162,931.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.