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Finding the Fourth Proportional to 181,123.36, 271,699.44 and 56,465.44

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Solution

The fourth proportional to 181,123.36, 271,699.44 and 56,465.44 is: 84,702.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,123.36 : 271,699.44 = 56,465.44 : x
  2. Step 2: Convert to fraction form
    181,123.36/271,699.44 = 56,465.44/x
  3. Step 3: Cross multiply
    181,123.36x = 271,699.44 × 56,465.44
  4. Step 4: Simplify right side
    181,123.36x = 15,341,628,427.35
  5. Step 5: Solve for x
    x = 15,341,628,427.35/181,123.36
  6. Step 6: Final answer
    x = 84,702.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.