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Finding the Fourth Proportional to 282,993.54, 390,559.70 and 162,150.86

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Solution

The fourth proportional to 282,993.54, 390,559.70 and 162,150.86 is: 223,784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,993.54 : 390,559.70 = 162,150.86 : x
  2. Step 2: Convert to fraction form
    282,993.54/390,559.70 = 162,150.86/x
  3. Step 3: Cross multiply
    282,993.54x = 390,559.70 × 162,150.86
  4. Step 4: Simplify right side
    282,993.54x = 63,329,591,236.34
  5. Step 5: Solve for x
    x = 63,329,591,236.34/282,993.54
  6. Step 6: Final answer
    x = 223,784.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.