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Finding the Fourth Proportional to 188,564.68, 282,925.32 and 76,324.24

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Solution

The fourth proportional to 188,564.68, 282,925.32 and 76,324.24 is: 114,518.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,564.68 : 282,925.32 = 76,324.24 : x
  2. Step 2: Convert to fraction form
    188,564.68/282,925.32 = 76,324.24/x
  3. Step 3: Cross multiply
    188,564.68x = 282,925.32 × 76,324.24
  4. Step 4: Simplify right side
    188,564.68x = 21,594,060,025.76
  5. Step 5: Solve for x
    x = 21,594,060,025.76/188,564.68
  6. Step 6: Final answer
    x = 114,518.05

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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.