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Finding the Fourth Proportional to 214,830.92, 322,244.32 and 130,614.33

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Solution

The fourth proportional to 214,830.92, 322,244.32 and 130,614.33 is: 195,920.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,830.92 : 322,244.32 = 130,614.33 : x
  2. Step 2: Convert to fraction form
    214,830.92/322,244.32 = 130,614.33/x
  3. Step 3: Cross multiply
    214,830.92x = 322,244.32 × 130,614.33
  4. Step 4: Simplify right side
    214,830.92x = 42,089,725,953.11
  5. Step 5: Solve for x
    x = 42,089,725,953.11/214,830.92
  6. Step 6: Final answer
    x = 195,920.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.