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Finding the Fourth Proportional to 214,294.05, 295,729.38 and 117,495.90

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Solution

The fourth proportional to 214,294.05, 295,729.38 and 117,495.90 is: 162,146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,294.05 : 295,729.38 = 117,495.90 : x
  2. Step 2: Convert to fraction form
    214,294.05/295,729.38 = 117,495.90/x
  3. Step 3: Cross multiply
    214,294.05x = 295,729.38 × 117,495.90
  4. Step 4: Simplify right side
    214,294.05x = 34,746,989,659.54
  5. Step 5: Solve for x
    x = 34,746,989,659.54/214,294.05
  6. Step 6: Final answer
    x = 162,146.31

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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.