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Finding the Fourth Proportional to 165,576.98, 248,407.44 and 47,248.76

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Solution

The fourth proportional to 165,576.98, 248,407.44 and 47,248.76 is: 70,885.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,576.98 : 248,407.44 = 47,248.76 : x
  2. Step 2: Convert to fraction form
    165,576.98/248,407.44 = 47,248.76/x
  3. Step 3: Cross multiply
    165,576.98x = 248,407.44 × 47,248.76
  4. Step 4: Simplify right side
    165,576.98x = 11,736,943,514.77
  5. Step 5: Solve for x
    x = 11,736,943,514.77/165,576.98
  6. Step 6: Final answer
    x = 70,885.12

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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.