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Finding the Fourth Proportional to 188,253.47, 282,317.56 and 75,904.67

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Solution

The fourth proportional to 188,253.47, 282,317.56 and 75,904.67 is: 113,831.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,253.47 : 282,317.56 = 75,904.67 : x
  2. Step 2: Convert to fraction form
    188,253.47/282,317.56 = 75,904.67/x
  3. Step 3: Cross multiply
    188,253.47x = 282,317.56 × 75,904.67
  4. Step 4: Simplify right side
    188,253.47x = 21,429,221,227.01
  5. Step 5: Solve for x
    x = 21,429,221,227.01/188,253.47
  6. Step 6: Final answer
    x = 113,831.75

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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.