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Finding the Fourth Proportional to 131,469, 181,427.22 and 71,853

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Solution

The fourth proportional to 131,469, 181,427.22 and 71,853 is: 99,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,469 : 181,427.22 = 71,853 : x
  2. Step 2: Convert to fraction form
    131,469/181,427.22 = 71,853/x
  3. Step 3: Cross multiply
    131,469x = 181,427.22 × 71,853
  4. Step 4: Simplify right side
    131,469x = 13,036,090,038.66
  5. Step 5: Solve for x
    x = 13,036,090,038.66/131,469
  6. Step 6: Final answer
    x = 99,157.14

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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.