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Finding the Fourth Proportional to 359,111.22, 495,526.87 and 206,156.09

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Solution

The fourth proportional to 359,111.22, 495,526.87 and 206,156.09 is: 284,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,111.22 : 495,526.87 = 206,156.09 : x
  2. Step 2: Convert to fraction form
    359,111.22/495,526.87 = 206,156.09/x
  3. Step 3: Cross multiply
    359,111.22x = 495,526.87 × 206,156.09
  4. Step 4: Simplify right side
    359,111.22x = 102,155,882,009.14
  5. Step 5: Solve for x
    x = 102,155,882,009.14/359,111.22
  6. Step 6: Final answer
    x = 284,468.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.