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Finding the Fourth Proportional to 165,602.61, 248,412.02 and 47,291.58

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Solution

The fourth proportional to 165,602.61, 248,412.02 and 47,291.58 is: 70,939.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,602.61 : 248,412.02 = 47,291.58 : x
  2. Step 2: Convert to fraction form
    165,602.61/248,412.02 = 47,291.58/x
  3. Step 3: Cross multiply
    165,602.61x = 248,412.02 × 47,291.58
  4. Step 4: Simplify right side
    165,602.61x = 11,747,796,680.33
  5. Step 5: Solve for x
    x = 11,747,796,680.33/165,602.61
  6. Step 6: Final answer
    x = 70,939.68

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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.