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Finding the Fourth Proportional to 205,300.48, 307,920.64 and 55,549.44

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Solution

The fourth proportional to 205,300.48, 307,920.64 and 55,549.44 is: 83,316.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,300.48 : 307,920.64 = 55,549.44 : x
  2. Step 2: Convert to fraction form
    205,300.48/307,920.64 = 55,549.44/x
  3. Step 3: Cross multiply
    205,300.48x = 307,920.64 × 55,549.44
  4. Step 4: Simplify right side
    205,300.48x = 17,104,819,116.44
  5. Step 5: Solve for x
    x = 17,104,819,116.44/205,300.48
  6. Step 6: Final answer
    x = 83,316.02

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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.