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Finding the Fourth Proportional to 204,902.60, 307,353.90 and 64,675.40

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Solution

The fourth proportional to 204,902.60, 307,353.90 and 64,675.40 is: 97,013.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,902.60 : 307,353.90 = 64,675.40 : x
  2. Step 2: Convert to fraction form
    204,902.60/307,353.90 = 64,675.40/x
  3. Step 3: Cross multiply
    204,902.60x = 307,353.90 × 64,675.40
  4. Step 4: Simplify right side
    204,902.60x = 19,878,236,424.06
  5. Step 5: Solve for x
    x = 19,878,236,424.06/204,902.60
  6. Step 6: Final answer
    x = 97,013.10

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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.