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Finding the Fourth Proportional to 216,913.82, 299,264.04 and 141,331.10

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Solution

The fourth proportional to 216,913.82, 299,264.04 and 141,331.10 is: 194,986.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,913.82 : 299,264.04 = 141,331.10 : x
  2. Step 2: Convert to fraction form
    216,913.82/299,264.04 = 141,331.10/x
  3. Step 3: Cross multiply
    216,913.82x = 299,264.04 × 141,331.10
  4. Step 4: Simplify right side
    216,913.82x = 42,295,314,467.32
  5. Step 5: Solve for x
    x = 42,295,314,467.32/216,913.82
  6. Step 6: Final answer
    x = 194,986.73

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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.