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Finding the Fourth Proportional to 271,825.66, 375,119.06 and 150,985

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Solution

The fourth proportional to 271,825.66, 375,119.06 and 150,985 is: 208,359.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,825.66 : 375,119.06 = 150,985 : x
  2. Step 2: Convert to fraction form
    271,825.66/375,119.06 = 150,985/x
  3. Step 3: Cross multiply
    271,825.66x = 375,119.06 × 150,985
  4. Step 4: Simplify right side
    271,825.66x = 56,637,351,274.10
  5. Step 5: Solve for x
    x = 56,637,351,274.10/271,825.66
  6. Step 6: Final answer
    x = 208,359.11

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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.