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Finding the Fourth Proportional to 174,473.88, 261,370.01 and 83,159.34

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Solution

The fourth proportional to 174,473.88, 261,370.01 and 83,159.34 is: 124,576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,473.88 : 261,370.01 = 83,159.34 : x
  2. Step 2: Convert to fraction form
    174,473.88/261,370.01 = 83,159.34/x
  3. Step 3: Cross multiply
    174,473.88x = 261,370.01 × 83,159.34
  4. Step 4: Simplify right side
    174,473.88x = 21,735,357,111.60
  5. Step 5: Solve for x
    x = 21,735,357,111.60/174,473.88
  6. Step 6: Final answer
    x = 124,576.57

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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.