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Finding the Fourth Proportional to 306,912.48, 460,339.56 and 107,196

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Solution

The fourth proportional to 306,912.48, 460,339.56 and 107,196 is: 160,783.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,912.48 : 460,339.56 = 107,196 : x
  2. Step 2: Convert to fraction form
    306,912.48/460,339.56 = 107,196/x
  3. Step 3: Cross multiply
    306,912.48x = 460,339.56 × 107,196
  4. Step 4: Simplify right side
    306,912.48x = 49,346,559,473.76
  5. Step 5: Solve for x
    x = 49,346,559,473.76/306,912.48
  6. Step 6: Final answer
    x = 160,783.82

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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.