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Finding the Fourth Proportional to 205,433.70, 307,567.35 and 205,433.70

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Solution

The fourth proportional to 205,433.70, 307,567.35 and 205,433.70 is: 307,567.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,433.70 : 307,567.35 = 205,433.70 : x
  2. Step 2: Convert to fraction form
    205,433.70/307,567.35 = 205,433.70/x
  3. Step 3: Cross multiply
    205,433.70x = 307,567.35 × 205,433.70
  4. Step 4: Simplify right side
    205,433.70x = 63,184,698,709.70
  5. Step 5: Solve for x
    x = 63,184,698,709.70/205,433.70
  6. Step 6: Final answer
    x = 307,567.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.