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Finding the Fourth Proportional to 181,410.68, 271,663.44 and 114,649.40

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Solution

The fourth proportional to 181,410.68, 271,663.44 and 114,649.40 is: 171,688.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,410.68 : 271,663.44 = 114,649.40 : x
  2. Step 2: Convert to fraction form
    181,410.68/271,663.44 = 114,649.40/x
  3. Step 3: Cross multiply
    181,410.68x = 271,663.44 × 114,649.40
  4. Step 4: Simplify right side
    181,410.68x = 31,146,050,397.94
  5. Step 5: Solve for x
    x = 31,146,050,397.94/181,410.68
  6. Step 6: Final answer
    x = 171,688.07

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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.