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Finding the Fourth Proportional to 205,273.60, 307,953.60 and 65,046.40

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Solution

The fourth proportional to 205,273.60, 307,953.60 and 65,046.40 is: 97,583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,273.60 : 307,953.60 = 65,046.40 : x
  2. Step 2: Convert to fraction form
    205,273.60/307,953.60 = 65,046.40/x
  3. Step 3: Cross multiply
    205,273.60x = 307,953.60 × 65,046.40
  4. Step 4: Simplify right side
    205,273.60x = 20,031,273,047.04
  5. Step 5: Solve for x
    x = 20,031,273,047.04/205,273.60
  6. Step 6: Final answer
    x = 97,583.29

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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.