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Finding the Fourth Proportional to 282,566.92, 424,015.62 and 105,199.60

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Solution

The fourth proportional to 282,566.92, 424,015.62 and 105,199.60 is: 157,860.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,566.92 : 424,015.62 = 105,199.60 : x
  2. Step 2: Convert to fraction form
    282,566.92/424,015.62 = 105,199.60/x
  3. Step 3: Cross multiply
    282,566.92x = 424,015.62 × 105,199.60
  4. Step 4: Simplify right side
    282,566.92x = 44,606,273,617.75
  5. Step 5: Solve for x
    x = 44,606,273,617.75/282,566.92
  6. Step 6: Final answer
    x = 157,860.92

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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.