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Finding the Fourth Proportional to 124,295.52, 186,287.60 and 97,896

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Solution

The fourth proportional to 124,295.52, 186,287.60 and 97,896 is: 146,721.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,295.52 : 186,287.60 = 97,896 : x
  2. Step 2: Convert to fraction form
    124,295.52/186,287.60 = 97,896/x
  3. Step 3: Cross multiply
    124,295.52x = 186,287.60 × 97,896
  4. Step 4: Simplify right side
    124,295.52x = 18,236,810,889.60
  5. Step 5: Solve for x
    x = 18,236,810,889.60/124,295.52
  6. Step 6: Final answer
    x = 146,721.39

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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.