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Finding the Fourth Proportional to 146,207.40, 219,311.10 and 83,999.40

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Solution

The fourth proportional to 146,207.40, 219,311.10 and 83,999.40 is: 125,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,207.40 : 219,311.10 = 83,999.40 : x
  2. Step 2: Convert to fraction form
    146,207.40/219,311.10 = 83,999.40/x
  3. Step 3: Cross multiply
    146,207.40x = 219,311.10 × 83,999.40
  4. Step 4: Simplify right side
    146,207.40x = 18,422,000,813.34
  5. Step 5: Solve for x
    x = 18,422,000,813.34/146,207.40
  6. Step 6: Final answer
    x = 125,999.10

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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.