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Finding the Fourth Proportional to 209,765.00, 314,693.06 and 76,645.05

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Solution

The fourth proportional to 209,765.00, 314,693.06 and 76,645.05 is: 114,984.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,765.00 : 314,693.06 = 76,645.05 : x
  2. Step 2: Convert to fraction form
    209,765.00/314,693.06 = 76,645.05/x
  3. Step 3: Cross multiply
    209,765.00x = 314,693.06 × 76,645.05
  4. Step 4: Simplify right side
    209,765.00x = 24,119,664,935.13
  5. Step 5: Solve for x
    x = 24,119,664,935.13/209,765.00
  6. Step 6: Final answer
    x = 114,984.22

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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.