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Finding the Fourth Proportional to 205,087.80, 307,113.30 and 163,615.80

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Solution

The fourth proportional to 205,087.80, 307,113.30 and 163,615.80 is: 245,010.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,087.80 : 307,113.30 = 163,615.80 : x
  2. Step 2: Convert to fraction form
    205,087.80/307,113.30 = 163,615.80/x
  3. Step 3: Cross multiply
    205,087.80x = 307,113.30 × 163,615.80
  4. Step 4: Simplify right side
    205,087.80x = 50,248,588,270.14
  5. Step 5: Solve for x
    x = 50,248,588,270.14/205,087.80
  6. Step 6: Final answer
    x = 245,010.13

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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.