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Finding the Fourth Proportional to 282,725.93, 424,090.71 and 83,045.54

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Solution

The fourth proportional to 282,725.93, 424,090.71 and 83,045.54 is: 124,568.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,725.93 : 424,090.71 = 83,045.54 : x
  2. Step 2: Convert to fraction form
    282,725.93/424,090.71 = 83,045.54/x
  3. Step 3: Cross multiply
    282,725.93x = 424,090.71 × 83,045.54
  4. Step 4: Simplify right side
    282,725.93x = 35,218,839,900.48
  5. Step 5: Solve for x
    x = 35,218,839,900.48/282,725.93
  6. Step 6: Final answer
    x = 124,568.84

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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.