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Finding the Fourth Proportional to 235,117.98, 353,948.12 and 214,192.50

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Solution

The fourth proportional to 235,117.98, 353,948.12 and 214,192.50 is: 322,446.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,117.98 : 353,948.12 = 214,192.50 : x
  2. Step 2: Convert to fraction form
    235,117.98/353,948.12 = 214,192.50/x
  3. Step 3: Cross multiply
    235,117.98x = 353,948.12 × 214,192.50
  4. Step 4: Simplify right side
    235,117.98x = 75,813,031,622.14
  5. Step 5: Solve for x
    x = 75,813,031,622.14/235,117.98
  6. Step 6: Final answer
    x = 322,446.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.