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Finding the Fourth Proportional to 188,088.75, 282,133.13 and 63,429.75

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Solution

The fourth proportional to 188,088.75, 282,133.13 and 63,429.75 is: 95,144.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,088.75 : 282,133.13 = 63,429.75 : x
  2. Step 2: Convert to fraction form
    188,088.75/282,133.13 = 63,429.75/x
  3. Step 3: Cross multiply
    188,088.75x = 282,133.13 × 63,429.75
  4. Step 4: Simplify right side
    188,088.75x = 17,895,633,585.47
  5. Step 5: Solve for x
    x = 17,895,633,585.47/188,088.75
  6. Step 6: Final answer
    x = 95,144.63

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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.