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Finding the Fourth Proportional to 209,509.62, 314,267.32 and 59,749.98

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Solution

The fourth proportional to 209,509.62, 314,267.32 and 59,749.98 is: 89,625.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,509.62 : 314,267.32 = 59,749.98 : x
  2. Step 2: Convert to fraction form
    209,509.62/314,267.32 = 59,749.98/x
  3. Step 3: Cross multiply
    209,509.62x = 314,267.32 × 59,749.98
  4. Step 4: Simplify right side
    209,509.62x = 18,777,466,084.65
  5. Step 5: Solve for x
    x = 18,777,466,084.65/209,509.62
  6. Step 6: Final answer
    x = 89,625.79

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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.