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Finding the Fourth Proportional to 209,566.02, 314,349.14 and 69,324.65

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Solution

The fourth proportional to 209,566.02, 314,349.14 and 69,324.65 is: 103,987.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,566.02 : 314,349.14 = 69,324.65 : x
  2. Step 2: Convert to fraction form
    209,566.02/314,349.14 = 69,324.65/x
  3. Step 3: Cross multiply
    209,566.02x = 314,349.14 × 69,324.65
  4. Step 4: Simplify right side
    209,566.02x = 21,792,144,108.30
  5. Step 5: Solve for x
    x = 21,792,144,108.30/209,566.02
  6. Step 6: Final answer
    x = 103,987.01

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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.