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Finding the Fourth Proportional to 213,117.40, 320,021.70 and 154,365.40

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Solution

The fourth proportional to 213,117.40, 320,021.70 and 154,365.40 is: 231,798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,117.40 : 320,021.70 = 154,365.40 : x
  2. Step 2: Convert to fraction form
    213,117.40/320,021.70 = 154,365.40/x
  3. Step 3: Cross multiply
    213,117.40x = 320,021.70 × 154,365.40
  4. Step 4: Simplify right side
    213,117.40x = 49,400,277,729.18
  5. Step 5: Solve for x
    x = 49,400,277,729.18/213,117.40
  6. Step 6: Final answer
    x = 231,798.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.