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Finding the Fourth Proportional to 157,770.69, 217,953.84 and 136,513.05

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Solution

The fourth proportional to 157,770.69, 217,953.84 and 136,513.05 is: 188,587.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,770.69 : 217,953.84 = 136,513.05 : x
  2. Step 2: Convert to fraction form
    157,770.69/217,953.84 = 136,513.05/x
  3. Step 3: Cross multiply
    157,770.69x = 217,953.84 × 136,513.05
  4. Step 4: Simplify right side
    157,770.69x = 29,753,542,384.32
  5. Step 5: Solve for x
    x = 29,753,542,384.32/157,770.69
  6. Step 6: Final answer
    x = 188,587.27

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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.