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Finding the Fourth Proportional to 202,051.20, 303,076.80 and 164,726.40

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Solution

The fourth proportional to 202,051.20, 303,076.80 and 164,726.40 is: 247,089.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,051.20 : 303,076.80 = 164,726.40 : x
  2. Step 2: Convert to fraction form
    202,051.20/303,076.80 = 164,726.40/x
  3. Step 3: Cross multiply
    202,051.20x = 303,076.80 × 164,726.40
  4. Step 4: Simplify right side
    202,051.20x = 49,924,750,187.52
  5. Step 5: Solve for x
    x = 49,924,750,187.52/202,051.20
  6. Step 6: Final answer
    x = 247,089.60

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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.