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Finding the Fourth Proportional to 213,328.34, 294,233.49 and 148,800.90

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Solution

The fourth proportional to 213,328.34, 294,233.49 and 148,800.90 is: 205,233.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,328.34 : 294,233.49 = 148,800.90 : x
  2. Step 2: Convert to fraction form
    213,328.34/294,233.49 = 148,800.90/x
  3. Step 3: Cross multiply
    213,328.34x = 294,233.49 × 148,800.90
  4. Step 4: Simplify right side
    213,328.34x = 43,782,208,122.14
  5. Step 5: Solve for x
    x = 43,782,208,122.14/213,328.34
  6. Step 6: Final answer
    x = 205,233.91

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