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Finding the Fourth Proportional to 130,029.40, 195,044.10 and 110,346.40

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Solution

The fourth proportional to 130,029.40, 195,044.10 and 110,346.40 is: 165,519.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,029.40 : 195,044.10 = 110,346.40 : x
  2. Step 2: Convert to fraction form
    130,029.40/195,044.10 = 110,346.40/x
  3. Step 3: Cross multiply
    130,029.40x = 195,044.10 × 110,346.40
  4. Step 4: Simplify right side
    130,029.40x = 21,522,414,276.24
  5. Step 5: Solve for x
    x = 21,522,414,276.24/130,029.40
  6. Step 6: Final answer
    x = 165,519.60

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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.