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Finding the Fourth Proportional to 282,850.65, 424,460.65 and 105,499.53

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Solution

The fourth proportional to 282,850.65, 424,460.65 and 105,499.53 is: 158,318.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,850.65 : 424,460.65 = 105,499.53 : x
  2. Step 2: Convert to fraction form
    282,850.65/424,460.65 = 105,499.53/x
  3. Step 3: Cross multiply
    282,850.65x = 424,460.65 × 105,499.53
  4. Step 4: Simplify right side
    282,850.65x = 44,780,399,078.49
  5. Step 5: Solve for x
    x = 44,780,399,078.49/282,850.65
  6. Step 6: Final answer
    x = 158,318.18

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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.