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Finding the Fourth Proportional to 124,193.34, 186,308.64 and 57,640.32

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Solution

The fourth proportional to 124,193.34, 186,308.64 and 57,640.32 is: 86,469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,193.34 : 186,308.64 = 57,640.32 : x
  2. Step 2: Convert to fraction form
    124,193.34/186,308.64 = 57,640.32/x
  3. Step 3: Cross multiply
    124,193.34x = 186,308.64 × 57,640.32
  4. Step 4: Simplify right side
    124,193.34x = 10,738,889,628.36
  5. Step 5: Solve for x
    x = 10,738,889,628.36/124,193.34
  6. Step 6: Final answer
    x = 86,469.13

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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.