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Finding the Fourth Proportional to 142,786.40, 214,179.60 and 136,225.40

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Solution

The fourth proportional to 142,786.40, 214,179.60 and 136,225.40 is: 204,338.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,786.40 : 214,179.60 = 136,225.40 : x
  2. Step 2: Convert to fraction form
    142,786.40/214,179.60 = 136,225.40/x
  3. Step 3: Cross multiply
    142,786.40x = 214,179.60 × 136,225.40
  4. Step 4: Simplify right side
    142,786.40x = 29,176,701,681.84
  5. Step 5: Solve for x
    x = 29,176,701,681.84/142,786.40
  6. Step 6: Final answer
    x = 204,338.10

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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.