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Finding the Fourth Proportional to 543,237.22, 814,582.46 and 188,155.90

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Solution

The fourth proportional to 543,237.22, 814,582.46 and 188,155.90 is: 282,139.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,237.22 : 814,582.46 = 188,155.90 : x
  2. Step 2: Convert to fraction form
    543,237.22/814,582.46 = 188,155.90/x
  3. Step 3: Cross multiply
    543,237.22x = 814,582.46 × 188,155.90
  4. Step 4: Simplify right side
    543,237.22x = 153,268,494,944.74
  5. Step 5: Solve for x
    x = 153,268,494,944.74/543,237.22
  6. Step 6: Final answer
    x = 282,139.16

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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.