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Finding the Fourth Proportional to 196,106.40, 293,770.80 and 107,200.80

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Solution

The fourth proportional to 196,106.40, 293,770.80 and 107,200.80 is: 160,588.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,106.40 : 293,770.80 = 107,200.80 : x
  2. Step 2: Convert to fraction form
    196,106.40/293,770.80 = 107,200.80/x
  3. Step 3: Cross multiply
    196,106.40x = 293,770.80 × 107,200.80
  4. Step 4: Simplify right side
    196,106.40x = 31,492,464,776.64
  5. Step 5: Solve for x
    x = 31,492,464,776.64/196,106.40
  6. Step 6: Final answer
    x = 160,588.66

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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.