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Finding the Fourth Proportional to 181,866.22, 250,975.21 and 105,429.56

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Solution

The fourth proportional to 181,866.22, 250,975.21 and 105,429.56 is: 145,492.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,866.22 : 250,975.21 = 105,429.56 : x
  2. Step 2: Convert to fraction form
    181,866.22/250,975.21 = 105,429.56/x
  3. Step 3: Cross multiply
    181,866.22x = 250,975.21 × 105,429.56
  4. Step 4: Simplify right side
    181,866.22x = 26,460,206,325.07
  5. Step 5: Solve for x
    x = 26,460,206,325.07/181,866.22
  6. Step 6: Final answer
    x = 145,492.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.