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Finding the Fourth Proportional to 207,157.58, 285,877.05 and 116,512.10

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Solution

The fourth proportional to 207,157.58, 285,877.05 and 116,512.10 is: 160,786.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,157.58 : 285,877.05 = 116,512.10 : x
  2. Step 2: Convert to fraction form
    207,157.58/285,877.05 = 116,512.10/x
  3. Step 3: Cross multiply
    207,157.58x = 285,877.05 × 116,512.10
  4. Step 4: Simplify right side
    207,157.58x = 33,308,135,437.31
  5. Step 5: Solve for x
    x = 33,308,135,437.31/207,157.58
  6. Step 6: Final answer
    x = 160,786.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.