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Finding the Fourth Proportional to 257,164.88, 354,805.52 and 166,590.27

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Solution

The fourth proportional to 257,164.88, 354,805.52 and 166,590.27 is: 229,841.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,164.88 : 354,805.52 = 166,590.27 : x
  2. Step 2: Convert to fraction form
    257,164.88/354,805.52 = 166,590.27/x
  3. Step 3: Cross multiply
    257,164.88x = 354,805.52 × 166,590.27
  4. Step 4: Simplify right side
    257,164.88x = 59,107,146,541.34
  5. Step 5: Solve for x
    x = 59,107,146,541.34/257,164.88
  6. Step 6: Final answer
    x = 229,841.45

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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.