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Finding the Fourth Proportional to 271,807.16, 375,111.23 and 150,948.41

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Solution

The fourth proportional to 271,807.16, 375,111.23 and 150,948.41 is: 208,318.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,807.16 : 375,111.23 = 150,948.41 : x
  2. Step 2: Convert to fraction form
    271,807.16/375,111.23 = 150,948.41/x
  3. Step 3: Cross multiply
    271,807.16x = 375,111.23 × 150,948.41
  4. Step 4: Simplify right side
    271,807.16x = 56,622,443,741.64
  5. Step 5: Solve for x
    x = 56,622,443,741.64/271,807.16
  6. Step 6: Final answer
    x = 208,318.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.