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Finding the Fourth Proportional to 356,545.38, 492,021.49 and 195,397.50

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Solution

The fourth proportional to 356,545.38, 492,021.49 and 195,397.50 is: 269,642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,545.38 : 492,021.49 = 195,397.50 : x
  2. Step 2: Convert to fraction form
    356,545.38/492,021.49 = 195,397.50/x
  3. Step 3: Cross multiply
    356,545.38x = 492,021.49 × 195,397.50
  4. Step 4: Simplify right side
    356,545.38x = 96,139,768,115.29
  5. Step 5: Solve for x
    x = 96,139,768,115.29/356,545.38
  6. Step 6: Final answer
    x = 269,642.45

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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.