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Finding the Fourth Proportional to 181,133.28, 271,699.92 and 56,484

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Solution

The fourth proportional to 181,133.28, 271,699.92 and 56,484 is: 84,726

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,133.28 : 271,699.92 = 56,484 : x
  2. Step 2: Convert to fraction form
    181,133.28/271,699.92 = 56,484/x
  3. Step 3: Cross multiply
    181,133.28x = 271,699.92 × 56,484
  4. Step 4: Simplify right side
    181,133.28x = 15,346,698,281.28
  5. Step 5: Solve for x
    x = 15,346,698,281.28/181,133.28
  6. Step 6: Final answer
    x = 84,726

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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.