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Finding the Fourth Proportional to 282,009, 389,187.78 and 162,815.40

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Solution

The fourth proportional to 282,009, 389,187.78 and 162,815.40 is: 224,694.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,009 : 389,187.78 = 162,815.40 : x
  2. Step 2: Convert to fraction form
    282,009/389,187.78 = 162,815.40/x
  3. Step 3: Cross multiply
    282,009x = 389,187.78 × 162,815.40
  4. Step 4: Simplify right side
    282,009x = 63,365,764,075.81
  5. Step 5: Solve for x
    x = 63,365,764,075.81/282,009
  6. Step 6: Final answer
    x = 224,694.12

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