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Finding the Fourth Proportional to 282,609.94, 424,274.62 and 183,186.18

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Solution

The fourth proportional to 282,609.94, 424,274.62 and 183,186.18 is: 275,012.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,609.94 : 424,274.62 = 183,186.18 : x
  2. Step 2: Convert to fraction form
    282,609.94/424,274.62 = 183,186.18/x
  3. Step 3: Cross multiply
    282,609.94x = 424,274.62 × 183,186.18
  4. Step 4: Simplify right side
    282,609.94x = 77,721,246,908.75
  5. Step 5: Solve for x
    x = 77,721,246,908.75/282,609.94
  6. Step 6: Final answer
    x = 275,012.43

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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.