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Finding the Fourth Proportional to 201,848.80, 302,335.80 and 166,856.80

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Solution

The fourth proportional to 201,848.80, 302,335.80 and 166,856.80 is: 249,923.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,848.80 : 302,335.80 = 166,856.80 : x
  2. Step 2: Convert to fraction form
    201,848.80/302,335.80 = 166,856.80/x
  3. Step 3: Cross multiply
    201,848.80x = 302,335.80 × 166,856.80
  4. Step 4: Simplify right side
    201,848.80x = 50,446,784,113.44
  5. Step 5: Solve for x
    x = 50,446,784,113.44/201,848.80
  6. Step 6: Final answer
    x = 249,923.63

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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.