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Finding the Fourth Proportional to 154,415.70, 231,514.20 and 70,216.20

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Solution

The fourth proportional to 154,415.70, 231,514.20 and 70,216.20 is: 105,274.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,415.70 : 231,514.20 = 70,216.20 : x
  2. Step 2: Convert to fraction form
    154,415.70/231,514.20 = 70,216.20/x
  3. Step 3: Cross multiply
    154,415.70x = 231,514.20 × 70,216.20
  4. Step 4: Simplify right side
    154,415.70x = 16,256,047,370.04
  5. Step 5: Solve for x
    x = 16,256,047,370.04/154,415.70
  6. Step 6: Final answer
    x = 105,274.58

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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.