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Finding the Fourth Proportional to 188,667, 282,643.74 and 111,499.74

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Solution

The fourth proportional to 188,667, 282,643.74 and 111,499.74 is: 167,038.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,667 : 282,643.74 = 111,499.74 : x
  2. Step 2: Convert to fraction form
    188,667/282,643.74 = 111,499.74/x
  3. Step 3: Cross multiply
    188,667x = 282,643.74 × 111,499.74
  4. Step 4: Simplify right side
    188,667x = 31,514,703,522.63
  5. Step 5: Solve for x
    x = 31,514,703,522.63/188,667
  6. Step 6: Final answer
    x = 167,038.77

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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.