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Finding the Fourth Proportional to 213,137.40, 319,588.35 and 134,082.48

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Solution

The fourth proportional to 213,137.40, 319,588.35 and 134,082.48 is: 201,049.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,137.40 : 319,588.35 = 134,082.48 : x
  2. Step 2: Convert to fraction form
    213,137.40/319,588.35 = 134,082.48/x
  3. Step 3: Cross multiply
    213,137.40x = 319,588.35 × 134,082.48
  4. Step 4: Simplify right side
    213,137.40x = 42,851,198,547.11
  5. Step 5: Solve for x
    x = 42,851,198,547.11/213,137.40
  6. Step 6: Final answer
    x = 201,049.64

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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.