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Finding the Fourth Proportional to 199,952.83, 274,466.12 and 176,784.30

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Solution

The fourth proportional to 199,952.83, 274,466.12 and 176,784.30 is: 242,663.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,952.83 : 274,466.12 = 176,784.30 : x
  2. Step 2: Convert to fraction form
    199,952.83/274,466.12 = 176,784.30/x
  3. Step 3: Cross multiply
    199,952.83x = 274,466.12 × 176,784.30
  4. Step 4: Simplify right side
    199,952.83x = 48,521,300,013.99
  5. Step 5: Solve for x
    x = 48,521,300,013.99/199,952.83
  6. Step 6: Final answer
    x = 242,663.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.