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Finding the Fourth Proportional to 282,195.66, 423,113.36 and 186,021.78

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Solution

The fourth proportional to 282,195.66, 423,113.36 and 186,021.78 is: 278,913.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,195.66 : 423,113.36 = 186,021.78 : x
  2. Step 2: Convert to fraction form
    282,195.66/423,113.36 = 186,021.78/x
  3. Step 3: Cross multiply
    282,195.66x = 423,113.36 × 186,021.78
  4. Step 4: Simplify right side
    282,195.66x = 78,708,299,438.87
  5. Step 5: Solve for x
    x = 78,708,299,438.87/282,195.66
  6. Step 6: Final answer
    x = 278,913.93

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1.5x scale

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.