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Finding the Fourth Proportional to 359,186.81, 495,666.54 and 198,045

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Solution

The fourth proportional to 359,186.81, 495,666.54 and 198,045 is: 273,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,186.81 : 495,666.54 = 198,045 : x
  2. Step 2: Convert to fraction form
    359,186.81/495,666.54 = 198,045/x
  3. Step 3: Cross multiply
    359,186.81x = 495,666.54 × 198,045
  4. Step 4: Simplify right side
    359,186.81x = 98,164,279,914.30
  5. Step 5: Solve for x
    x = 98,164,279,914.30/359,186.81
  6. Step 6: Final answer
    x = 273,295.90

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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.