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Finding the Fourth Proportional to 180,678.69, 271,054.40 and 62,354.61

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Solution

The fourth proportional to 180,678.69, 271,054.40 and 62,354.61 is: 93,544.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,678.69 : 271,054.40 = 62,354.61 : x
  2. Step 2: Convert to fraction form
    180,678.69/271,054.40 = 62,354.61/x
  3. Step 3: Cross multiply
    180,678.69x = 271,054.40 × 62,354.61
  4. Step 4: Simplify right side
    180,678.69x = 16,901,491,089.01
  5. Step 5: Solve for x
    x = 16,901,491,089.01/180,678.69
  6. Step 6: Final answer
    x = 93,544.46

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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.