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Finding the Fourth Proportional to 166,064.40, 249,072.30 and 47,723.40

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Solution

The fourth proportional to 166,064.40, 249,072.30 and 47,723.40 is: 71,578.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,064.40 : 249,072.30 = 47,723.40 : x
  2. Step 2: Convert to fraction form
    166,064.40/249,072.30 = 47,723.40/x
  3. Step 3: Cross multiply
    166,064.40x = 249,072.30 × 47,723.40
  4. Step 4: Simplify right side
    166,064.40x = 11,886,577,001.82
  5. Step 5: Solve for x
    x = 11,886,577,001.82/166,064.40
  6. Step 6: Final answer
    x = 71,578.12

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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.