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Finding the Fourth Proportional to 282,719.61, 424,222.92 and 188,015.67

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Solution

The fourth proportional to 282,719.61, 424,222.92 and 188,015.67 is: 282,118.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,719.61 : 424,222.92 = 188,015.67 : x
  2. Step 2: Convert to fraction form
    282,719.61/424,222.92 = 188,015.67/x
  3. Step 3: Cross multiply
    282,719.61x = 424,222.92 × 188,015.67
  4. Step 4: Simplify right side
    282,719.61x = 79,760,556,533.16
  5. Step 5: Solve for x
    x = 79,760,556,533.16/282,719.61
  6. Step 6: Final answer
    x = 282,118.94

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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.