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Finding the Fourth Proportional to 174,172, 261,259.28 and 42,844

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Solution

The fourth proportional to 174,172, 261,259.28 and 42,844 is: 64,266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,172 : 261,259.28 = 42,844 : x
  2. Step 2: Convert to fraction form
    174,172/261,259.28 = 42,844/x
  3. Step 3: Cross multiply
    174,172x = 261,259.28 × 42,844
  4. Step 4: Simplify right side
    174,172x = 11,193,392,592.32
  5. Step 5: Solve for x
    x = 11,193,392,592.32/174,172
  6. Step 6: Final answer
    x = 64,266.31

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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.