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Finding the Fourth Proportional to 206,332.38, 309,477.83 and 56,587.72

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Solution

The fourth proportional to 206,332.38, 309,477.83 and 56,587.72 is: 84,875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,332.38 : 309,477.83 = 56,587.72 : x
  2. Step 2: Convert to fraction form
    206,332.38/309,477.83 = 56,587.72/x
  3. Step 3: Cross multiply
    206,332.38x = 309,477.83 × 56,587.72
  4. Step 4: Simplify right side
    206,332.38x = 17,512,644,790.25
  5. Step 5: Solve for x
    x = 17,512,644,790.25/206,332.38
  6. Step 6: Final answer
    x = 84,875.89

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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.