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Finding the Fourth Proportional to 201,164.76, 277,657.26 and 116,331

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Solution

The fourth proportional to 201,164.76, 277,657.26 and 116,331 is: 160,565.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,164.76 : 277,657.26 = 116,331 : x
  2. Step 2: Convert to fraction form
    201,164.76/277,657.26 = 116,331/x
  3. Step 3: Cross multiply
    201,164.76x = 277,657.26 × 116,331
  4. Step 4: Simplify right side
    201,164.76x = 32,300,146,713.06
  5. Step 5: Solve for x
    x = 32,300,146,713.06/201,164.76
  6. Step 6: Final answer
    x = 160,565.63

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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.