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Finding the Fourth Proportional to 213,870.12, 294,938.80 and 159,542.20

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Solution

The fourth proportional to 213,870.12, 294,938.80 and 159,542.20 is: 220,017.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,870.12 : 294,938.80 = 159,542.20 : x
  2. Step 2: Convert to fraction form
    213,870.12/294,938.80 = 159,542.20/x
  3. Step 3: Cross multiply
    213,870.12x = 294,938.80 × 159,542.20
  4. Step 4: Simplify right side
    213,870.12x = 47,055,185,017.36
  5. Step 5: Solve for x
    x = 47,055,185,017.36/213,870.12
  6. Step 6: Final answer
    x = 220,017.57

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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.