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Finding the Fourth Proportional to 166,072.84, 249,148.80 and 53,753.08

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Solution

The fourth proportional to 166,072.84, 249,148.80 and 53,753.08 is: 80,642.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,072.84 : 249,148.80 = 53,753.08 : x
  2. Step 2: Convert to fraction form
    166,072.84/249,148.80 = 53,753.08/x
  3. Step 3: Cross multiply
    166,072.84x = 249,148.80 × 53,753.08
  4. Step 4: Simplify right side
    166,072.84x = 13,392,514,132.56
  5. Step 5: Solve for x
    x = 13,392,514,132.56/166,072.84
  6. Step 6: Final answer
    x = 80,642.41

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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.