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Finding the Fourth Proportional to 214,094.96, 295,284.72 and 146,166.68

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Solution

The fourth proportional to 214,094.96, 295,284.72 and 146,166.68 is: 201,596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,094.96 : 295,284.72 = 146,166.68 : x
  2. Step 2: Convert to fraction form
    214,094.96/295,284.72 = 146,166.68/x
  3. Step 3: Cross multiply
    214,094.96x = 295,284.72 × 146,166.68
  4. Step 4: Simplify right side
    214,094.96x = 43,160,787,177.13
  5. Step 5: Solve for x
    x = 43,160,787,177.13/214,094.96
  6. Step 6: Final answer
    x = 201,596.47

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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.