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Finding the Fourth Proportional to 142,784.60, 214,112.10 and 54,008.60

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Solution

The fourth proportional to 142,784.60, 214,112.10 and 54,008.60 is: 80,988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,784.60 : 214,112.10 = 54,008.60 : x
  2. Step 2: Convert to fraction form
    142,784.60/214,112.10 = 54,008.60/x
  3. Step 3: Cross multiply
    142,784.60x = 214,112.10 × 54,008.60
  4. Step 4: Simplify right side
    142,784.60x = 11,563,894,764.06
  5. Step 5: Solve for x
    x = 11,563,894,764.06/142,784.60
  6. Step 6: Final answer
    x = 80,988.39

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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.