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Finding the Fourth Proportional to 209,969.90, 314,862.50 and 76,815.62

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Solution

The fourth proportional to 209,969.90, 314,862.50 and 76,815.62 is: 115,189.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,969.90 : 314,862.50 = 76,815.62 : x
  2. Step 2: Convert to fraction form
    209,969.90/314,862.50 = 76,815.62/x
  3. Step 3: Cross multiply
    209,969.90x = 314,862.50 × 76,815.62
  4. Step 4: Simplify right side
    209,969.90x = 24,186,358,152.25
  5. Step 5: Solve for x
    x = 24,186,358,152.25/209,969.90
  6. Step 6: Final answer
    x = 115,189.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.