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Finding the Fourth Proportional to 181,533, 250,515.54 and 102,045

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Solution

The fourth proportional to 181,533, 250,515.54 and 102,045 is: 140,822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,533 : 250,515.54 = 102,045 : x
  2. Step 2: Convert to fraction form
    181,533/250,515.54 = 102,045/x
  3. Step 3: Cross multiply
    181,533x = 250,515.54 × 102,045
  4. Step 4: Simplify right side
    181,533x = 25,563,858,279.30
  5. Step 5: Solve for x
    x = 25,563,858,279.30/181,533
  6. Step 6: Final answer
    x = 140,822.10

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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.