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Finding the Fourth Proportional to 282,747.74, 424,152.52 and 122,713.65

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Solution

The fourth proportional to 282,747.74, 424,152.52 and 122,713.65 is: 184,083.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,747.74 : 424,152.52 = 122,713.65 : x
  2. Step 2: Convert to fraction form
    282,747.74/424,152.52 = 122,713.65/x
  3. Step 3: Cross multiply
    282,747.74x = 424,152.52 × 122,713.65
  4. Step 4: Simplify right side
    282,747.74x = 52,049,303,579.11
  5. Step 5: Solve for x
    x = 52,049,303,579.11/282,747.74
  6. Step 6: Final answer
    x = 184,083.89

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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.