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Finding the Fourth Proportional to 214,008.64, 295,325.16 and 123,364.96

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Solution

The fourth proportional to 214,008.64, 295,325.16 and 123,364.96 is: 170,239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,008.64 : 295,325.16 = 123,364.96 : x
  2. Step 2: Convert to fraction form
    214,008.64/295,325.16 = 123,364.96/x
  3. Step 3: Cross multiply
    214,008.64x = 295,325.16 × 123,364.96
  4. Step 4: Simplify right side
    214,008.64x = 36,432,776,550.39
  5. Step 5: Solve for x
    x = 36,432,776,550.39/214,008.64
  6. Step 6: Final answer
    x = 170,239.75

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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.