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Finding the Fourth Proportional to 214,196.16, 295,598.16 and 129,296.64

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Solution

The fourth proportional to 214,196.16, 295,598.16 and 129,296.64 is: 178,433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,196.16 : 295,598.16 = 129,296.64 : x
  2. Step 2: Convert to fraction form
    214,196.16/295,598.16 = 129,296.64/x
  3. Step 3: Cross multiply
    214,196.16x = 295,598.16 × 129,296.64
  4. Step 4: Simplify right side
    214,196.16x = 38,219,848,878.18
  5. Step 5: Solve for x
    x = 38,219,848,878.18/214,196.16
  6. Step 6: Final answer
    x = 178,433.87

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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.