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Finding the Fourth Proportional to 205,234.40, 307,822.80 and 65,007.20

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Solution

The fourth proportional to 205,234.40, 307,822.80 and 65,007.20 is: 97,501.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,234.40 : 307,822.80 = 65,007.20 : x
  2. Step 2: Convert to fraction form
    205,234.40/307,822.80 = 65,007.20/x
  3. Step 3: Cross multiply
    205,234.40x = 307,822.80 × 65,007.20
  4. Step 4: Simplify right side
    205,234.40x = 20,010,698,324.16
  5. Step 5: Solve for x
    x = 20,010,698,324.16/205,234.40
  6. Step 6: Final answer
    x = 97,501.68

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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.