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Finding the Fourth Proportional to 206,401.76, 309,602.96 and 56,644.08

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Solution

The fourth proportional to 206,401.76, 309,602.96 and 56,644.08 is: 84,966.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,401.76 : 309,602.96 = 56,644.08 : x
  2. Step 2: Convert to fraction form
    206,401.76/309,602.96 = 56,644.08/x
  3. Step 3: Cross multiply
    206,401.76x = 309,602.96 × 56,644.08
  4. Step 4: Simplify right side
    206,401.76x = 17,537,174,834.48
  5. Step 5: Solve for x
    x = 17,537,174,834.48/206,401.76
  6. Step 6: Final answer
    x = 84,966.21

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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.