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Finding the Fourth Proportional to 209,952.90, 314,837.01 and 76,798.62

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Solution

The fourth proportional to 209,952.90, 314,837.01 and 76,798.62 is: 115,164.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952.90 : 314,837.01 = 76,798.62 : x
  2. Step 2: Convert to fraction form
    209,952.90/314,837.01 = 76,798.62/x
  3. Step 3: Cross multiply
    209,952.90x = 314,837.01 × 76,798.62
  4. Step 4: Simplify right side
    209,952.90x = 24,179,047,892.93
  5. Step 5: Solve for x
    x = 24,179,047,892.93/209,952.90
  6. Step 6: Final answer
    x = 115,164.15

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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.