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Finding the Fourth Proportional to 188,783.36, 282,928.80 and 95,238.08

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Solution

The fourth proportional to 188,783.36, 282,928.80 and 95,238.08 is: 142,732.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,783.36 : 282,928.80 = 95,238.08 : x
  2. Step 2: Convert to fraction form
    188,783.36/282,928.80 = 95,238.08/x
  3. Step 3: Cross multiply
    188,783.36x = 282,928.80 × 95,238.08
  4. Step 4: Simplify right side
    188,783.36x = 26,945,595,688.70
  5. Step 5: Solve for x
    x = 26,945,595,688.70/188,783.36
  6. Step 6: Final answer
    x = 142,732.90

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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.