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Finding the Fourth Proportional to 142,814.40, 214,221.60 and 54,070.80

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Solution

The fourth proportional to 142,814.40, 214,221.60 and 54,070.80 is: 81,106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,814.40 : 214,221.60 = 54,070.80 : x
  2. Step 2: Convert to fraction form
    142,814.40/214,221.60 = 54,070.80/x
  3. Step 3: Cross multiply
    142,814.40x = 214,221.60 × 54,070.80
  4. Step 4: Simplify right side
    142,814.40x = 11,583,133,289.28
  5. Step 5: Solve for x
    x = 11,583,133,289.28/142,814.40
  6. Step 6: Final answer
    x = 81,106.20

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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.