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Finding the Fourth Proportional to 242,676.75, 364,033.53 and 82,702.95

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Solution

The fourth proportional to 242,676.75, 364,033.53 and 82,702.95 is: 124,060.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,676.75 : 364,033.53 = 82,702.95 : x
  2. Step 2: Convert to fraction form
    242,676.75/364,033.53 = 82,702.95/x
  3. Step 3: Cross multiply
    242,676.75x = 364,033.53 × 82,702.95
  4. Step 4: Simplify right side
    242,676.75x = 30,106,646,829.91
  5. Step 5: Solve for x
    x = 30,106,646,829.91/242,676.75
  6. Step 6: Final answer
    x = 124,060.70

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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.