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Finding the Fourth Proportional to 211,266.40, 316,316.40 and 164,610.40

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Solution

The fourth proportional to 211,266.40, 316,316.40 and 164,610.40 is: 246,461.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,266.40 : 316,316.40 = 164,610.40 : x
  2. Step 2: Convert to fraction form
    211,266.40/316,316.40 = 164,610.40/x
  3. Step 3: Cross multiply
    211,266.40x = 316,316.40 × 164,610.40
  4. Step 4: Simplify right side
    211,266.40x = 52,068,969,130.56
  5. Step 5: Solve for x
    x = 52,068,969,130.56/211,266.40
  6. Step 6: Final answer
    x = 246,461.19

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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.