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Finding the Fourth Proportional to 209,884.34, 314,875.72 and 83,532.24

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Solution

The fourth proportional to 209,884.34, 314,875.72 and 83,532.24 is: 125,317.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,884.34 : 314,875.72 = 83,532.24 : x
  2. Step 2: Convert to fraction form
    209,884.34/314,875.72 = 83,532.24/x
  3. Step 3: Cross multiply
    209,884.34x = 314,875.72 × 83,532.24
  4. Step 4: Simplify right side
    209,884.34x = 26,302,274,213.21
  5. Step 5: Solve for x
    x = 26,302,274,213.21/209,884.34
  6. Step 6: Final answer
    x = 125,317.95

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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.