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Finding the Fourth Proportional to 211,873.40, 317,810.06 and 54,096.20

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Solution

The fourth proportional to 211,873.40, 317,810.06 and 54,096.20 is: 81,144.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,873.40 : 317,810.06 = 54,096.20 : x
  2. Step 2: Convert to fraction form
    211,873.40/317,810.06 = 54,096.20/x
  3. Step 3: Cross multiply
    211,873.40x = 317,810.06 × 54,096.20
  4. Step 4: Simplify right side
    211,873.40x = 17,192,316,567.77
  5. Step 5: Solve for x
    x = 17,192,316,567.77/211,873.40
  6. Step 6: Final answer
    x = 81,144.29

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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.