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Finding the Fourth Proportional to 113,506.70, 170,236.80 and 42,416.22

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Solution

The fourth proportional to 113,506.70, 170,236.80 and 42,416.22 is: 63,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,506.70 : 170,236.80 = 42,416.22 : x
  2. Step 2: Convert to fraction form
    113,506.70/170,236.80 = 42,416.22/x
  3. Step 3: Cross multiply
    113,506.70x = 170,236.80 × 42,416.22
  4. Step 4: Simplify right side
    113,506.70x = 7,220,801,540.75
  5. Step 5: Solve for x
    x = 7,220,801,540.75/113,506.70
  6. Step 6: Final answer
    x = 63,615.64

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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.