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Finding the Fourth Proportional to 216,461.76, 323,107.50 and 190,895.91

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Solution

The fourth proportional to 216,461.76, 323,107.50 and 190,895.91 is: 284,945.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,461.76 : 323,107.50 = 190,895.91 : x
  2. Step 2: Convert to fraction form
    216,461.76/323,107.50 = 190,895.91/x
  3. Step 3: Cross multiply
    216,461.76x = 323,107.50 × 190,895.91
  4. Step 4: Simplify right side
    216,461.76x = 61,679,900,240.33
  5. Step 5: Solve for x
    x = 61,679,900,240.33/216,461.76
  6. Step 6: Final answer
    x = 284,945.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.