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Finding the Fourth Proportional to 205,433.20, 307,566.60 and 205,433.20

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Solution

The fourth proportional to 205,433.20, 307,566.60 and 205,433.20 is: 307,566.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,433.20 : 307,566.60 = 205,433.20 : x
  2. Step 2: Convert to fraction form
    205,433.20/307,566.60 = 205,433.20/x
  3. Step 3: Cross multiply
    205,433.20x = 307,566.60 × 205,433.20
  4. Step 4: Simplify right side
    205,433.20x = 63,184,390,851.12
  5. Step 5: Solve for x
    x = 63,184,390,851.12/205,433.20
  6. Step 6: Final answer
    x = 307,566.60

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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.