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Finding the Fourth Proportional to 194,808.10, 292,241.35 and 82,488.10

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Solution

The fourth proportional to 194,808.10, 292,241.35 and 82,488.10 is: 123,744.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,808.10 : 292,241.35 = 82,488.10 : x
  2. Step 2: Convert to fraction form
    194,808.10/292,241.35 = 82,488.10/x
  3. Step 3: Cross multiply
    194,808.10x = 292,241.35 × 82,488.10
  4. Step 4: Simplify right side
    194,808.10x = 24,106,433,702.94
  5. Step 5: Solve for x
    x = 24,106,433,702.94/194,808.10
  6. Step 6: Final answer
    x = 123,744.51

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1.5x scale

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.