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Finding the Fourth Proportional to 206,368.51, 309,553.90 and 93,970.38

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Solution

The fourth proportional to 206,368.51, 309,553.90 and 93,970.38 is: 140,956.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,368.51 : 309,553.90 = 93,970.38 : x
  2. Step 2: Convert to fraction form
    206,368.51/309,553.90 = 93,970.38/x
  3. Step 3: Cross multiply
    206,368.51x = 309,553.90 × 93,970.38
  4. Step 4: Simplify right side
    206,368.51x = 29,088,897,326.73
  5. Step 5: Solve for x
    x = 29,088,897,326.73/206,368.51
  6. Step 6: Final answer
    x = 140,956.09

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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.