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Finding the Fourth Proportional to 219,830.10, 329,939.55 and 188,337.30

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Solution

The fourth proportional to 219,830.10, 329,939.55 and 188,337.30 is: 282,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,830.10 : 329,939.55 = 188,337.30 : x
  2. Step 2: Convert to fraction form
    219,830.10/329,939.55 = 188,337.30/x
  3. Step 3: Cross multiply
    219,830.10x = 329,939.55 × 188,337.30
  4. Step 4: Simplify right side
    219,830.10x = 62,139,924,010.22
  5. Step 5: Solve for x
    x = 62,139,924,010.22/219,830.10
  6. Step 6: Final answer
    x = 282,672.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.