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Finding the Fourth Proportional to 202,912.72, 304,420.98 and 118,743.76

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Solution

The fourth proportional to 202,912.72, 304,420.98 and 118,743.76 is: 178,146.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,912.72 : 304,420.98 = 118,743.76 : x
  2. Step 2: Convert to fraction form
    202,912.72/304,420.98 = 118,743.76/x
  3. Step 3: Cross multiply
    202,912.72x = 304,420.98 × 118,743.76
  4. Step 4: Simplify right side
    202,912.72x = 36,148,091,788.08
  5. Step 5: Solve for x
    x = 36,148,091,788.08/202,912.72
  6. Step 6: Final answer
    x = 178,146.01

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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.