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Finding the Fourth Proportional to 165,340.80, 248,020.80 and 47,020.80

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Solution

The fourth proportional to 165,340.80, 248,020.80 and 47,020.80 is: 70,533.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,340.80 : 248,020.80 = 47,020.80 : x
  2. Step 2: Convert to fraction form
    165,340.80/248,020.80 = 47,020.80/x
  3. Step 3: Cross multiply
    165,340.80x = 248,020.80 × 47,020.80
  4. Step 4: Simplify right side
    165,340.80x = 11,662,136,432.64
  5. Step 5: Solve for x
    x = 11,662,136,432.64/165,340.80
  6. Step 6: Final answer
    x = 70,533.93

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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.