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Finding the Fourth Proportional to 214,348.76, 295,800.78 and 118,853

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Solution

The fourth proportional to 214,348.76, 295,800.78 and 118,853 is: 164,016.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,348.76 : 295,800.78 = 118,853 : x
  2. Step 2: Convert to fraction form
    214,348.76/295,800.78 = 118,853/x
  3. Step 3: Cross multiply
    214,348.76x = 295,800.78 × 118,853
  4. Step 4: Simplify right side
    214,348.76x = 35,156,810,105.34
  5. Step 5: Solve for x
    x = 35,156,810,105.34/214,348.76
  6. Step 6: Final answer
    x = 164,016.86

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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.