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Finding the Fourth Proportional to 188,509.71, 282,768.21 and 150,895.20

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Solution

The fourth proportional to 188,509.71, 282,768.21 and 150,895.20 is: 226,345.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,509.71 : 282,768.21 = 150,895.20 : x
  2. Step 2: Convert to fraction form
    188,509.71/282,768.21 = 150,895.20/x
  3. Step 3: Cross multiply
    188,509.71x = 282,768.21 × 150,895.20
  4. Step 4: Simplify right side
    188,509.71x = 42,668,365,601.59
  5. Step 5: Solve for x
    x = 42,668,365,601.59/188,509.71
  6. Step 6: Final answer
    x = 226,345.72

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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.