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Finding the Fourth Proportional to 213,935.36, 295,294.80 and 138,488.96

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Solution

The fourth proportional to 213,935.36, 295,294.80 and 138,488.96 is: 191,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,935.36 : 295,294.80 = 138,488.96 : x
  2. Step 2: Convert to fraction form
    213,935.36/295,294.80 = 138,488.96/x
  3. Step 3: Cross multiply
    213,935.36x = 295,294.80 × 138,488.96
  4. Step 4: Simplify right side
    213,935.36x = 40,895,069,745.41
  5. Step 5: Solve for x
    x = 40,895,069,745.41/213,935.36
  6. Step 6: Final answer
    x = 191,156.20

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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.