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Finding the Fourth Proportional to 211,265.40, 316,314.90 and 164,609.40

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Solution

The fourth proportional to 211,265.40, 316,314.90 and 164,609.40 is: 246,459.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,265.40 : 316,314.90 = 164,609.40 : x
  2. Step 2: Convert to fraction form
    211,265.40/316,314.90 = 164,609.40/x
  3. Step 3: Cross multiply
    211,265.40x = 316,314.90 × 164,609.40
  4. Step 4: Simplify right side
    211,265.40x = 52,068,405,900.06
  5. Step 5: Solve for x
    x = 52,068,405,900.06/211,265.40
  6. Step 6: Final answer
    x = 246,459.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.