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Finding the Fourth Proportional to 214,980.88, 322,478.59 and 57,209.48

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Solution

The fourth proportional to 214,980.88, 322,478.59 and 57,209.48 is: 85,816.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,980.88 : 322,478.59 = 57,209.48 : x
  2. Step 2: Convert to fraction form
    214,980.88/322,478.59 = 57,209.48/x
  3. Step 3: Cross multiply
    214,980.88x = 322,478.59 × 57,209.48
  4. Step 4: Simplify right side
    214,980.88x = 18,448,832,445.03
  5. Step 5: Solve for x
    x = 18,448,832,445.03/214,980.88
  6. Step 6: Final answer
    x = 85,816.16

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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.