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Finding the Fourth Proportional to 181,416, 272,094.84 and 128,665.56

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Solution

The fourth proportional to 181,416, 272,094.84 and 128,665.56 is: 192,977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,416 : 272,094.84 = 128,665.56 : x
  2. Step 2: Convert to fraction form
    181,416/272,094.84 = 128,665.56/x
  3. Step 3: Cross multiply
    181,416x = 272,094.84 × 128,665.56
  4. Step 4: Simplify right side
    181,416x = 35,009,234,961.71
  5. Step 5: Solve for x
    x = 35,009,234,961.71/181,416
  6. Step 6: Final answer
    x = 192,977.66

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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.