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Finding the Fourth Proportional to 144,694.98, 199,681.32 and 83,407.35

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Solution

The fourth proportional to 144,694.98, 199,681.32 and 83,407.35 is: 115,103.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,694.98 : 199,681.32 = 83,407.35 : x
  2. Step 2: Convert to fraction form
    144,694.98/199,681.32 = 83,407.35/x
  3. Step 3: Cross multiply
    144,694.98x = 199,681.32 × 83,407.35
  4. Step 4: Simplify right side
    144,694.98x = 16,654,889,745.70
  5. Step 5: Solve for x
    x = 16,654,889,745.70/144,694.98
  6. Step 6: Final answer
    x = 115,103.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.