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Finding the Fourth Proportional to 167,564.70, 251,347.05 and 97,580.70

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Solution

The fourth proportional to 167,564.70, 251,347.05 and 97,580.70 is: 146,371.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,564.70 : 251,347.05 = 97,580.70 : x
  2. Step 2: Convert to fraction form
    167,564.70/251,347.05 = 97,580.70/x
  3. Step 3: Cross multiply
    167,564.70x = 251,347.05 × 97,580.70
  4. Step 4: Simplify right side
    167,564.70x = 24,526,621,081.94
  5. Step 5: Solve for x
    x = 24,526,621,081.94/167,564.70
  6. Step 6: Final answer
    x = 146,371.05

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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.