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Finding the Fourth Proportional to 282,356.13, 389,657.75 and 155,032.23

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Solution

The fourth proportional to 282,356.13, 389,657.75 and 155,032.23 is: 213,947.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,356.13 : 389,657.75 = 155,032.23 : x
  2. Step 2: Convert to fraction form
    282,356.13/389,657.75 = 155,032.23/x
  3. Step 3: Cross multiply
    282,356.13x = 389,657.75 × 155,032.23
  4. Step 4: Simplify right side
    282,356.13x = 60,409,509,144.12
  5. Step 5: Solve for x
    x = 60,409,509,144.12/282,356.13
  6. Step 6: Final answer
    x = 213,947.93

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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.