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Finding the Fourth Proportional to 142,774.60, 214,097.10 and 53,998.60

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Solution

The fourth proportional to 142,774.60, 214,097.10 and 53,998.60 is: 80,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,774.60 : 214,097.10 = 53,998.60 : x
  2. Step 2: Convert to fraction form
    142,774.60/214,097.10 = 53,998.60/x
  3. Step 3: Cross multiply
    142,774.60x = 214,097.10 × 53,998.60
  4. Step 4: Simplify right side
    142,774.60x = 11,560,943,664.06
  5. Step 5: Solve for x
    x = 11,560,943,664.06/142,774.60
  6. Step 6: Final answer
    x = 80,973.39

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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.