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Finding the Fourth Proportional to 214,124.80, 320,841.60 and 135,097.60

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Solution

The fourth proportional to 214,124.80, 320,841.60 and 135,097.60 is: 202,428.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,124.80 : 320,841.60 = 135,097.60 : x
  2. Step 2: Convert to fraction form
    214,124.80/320,841.60 = 135,097.60/x
  3. Step 3: Cross multiply
    214,124.80x = 320,841.60 × 135,097.60
  4. Step 4: Simplify right side
    214,124.80x = 43,344,930,140.16
  5. Step 5: Solve for x
    x = 43,344,930,140.16/214,124.80
  6. Step 6: Final answer
    x = 202,428.35

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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.