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Finding the Fourth Proportional to 282,798, 424,197.09 and 83,118.42

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Solution

The fourth proportional to 282,798, 424,197.09 and 83,118.42 is: 124,677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,798 : 424,197.09 = 83,118.42 : x
  2. Step 2: Convert to fraction form
    282,798/424,197.09 = 83,118.42/x
  3. Step 3: Cross multiply
    282,798x = 424,197.09 × 83,118.42
  4. Step 4: Simplify right side
    282,798x = 35,258,591,889.40
  5. Step 5: Solve for x
    x = 35,258,591,889.40/282,798
  6. Step 6: Final answer
    x = 124,677.66

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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.