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Finding the Fourth Proportional to 213,984.65, 320,503.87 and 146,356.40

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Solution

The fourth proportional to 213,984.65, 320,503.87 and 146,356.40 is: 219,211.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,984.65 : 320,503.87 = 146,356.40 : x
  2. Step 2: Convert to fraction form
    213,984.65/320,503.87 = 146,356.40/x
  3. Step 3: Cross multiply
    213,984.65x = 320,503.87 × 146,356.40
  4. Step 4: Simplify right side
    213,984.65x = 46,907,793,400.53
  5. Step 5: Solve for x
    x = 46,907,793,400.53/213,984.65
  6. Step 6: Final answer
    x = 219,211.02

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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.