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Finding the Fourth Proportional to 205,461.30, 307,673.55 and 163,989.30

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Solution

The fourth proportional to 205,461.30, 307,673.55 and 163,989.30 is: 245,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,461.30 : 307,673.55 = 163,989.30 : x
  2. Step 2: Convert to fraction form
    205,461.30/307,673.55 = 163,989.30/x
  3. Step 3: Cross multiply
    205,461.30x = 307,673.55 × 163,989.30
  4. Step 4: Simplify right side
    205,461.30x = 50,455,170,093.02
  5. Step 5: Solve for x
    x = 50,455,170,093.02/205,461.30
  6. Step 6: Final answer
    x = 245,570.19

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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.