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Finding the Fourth Proportional to 209,972.46, 314,959.84 and 52,200.91

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Solution

The fourth proportional to 209,972.46, 314,959.84 and 52,200.91 is: 78,301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,972.46 : 314,959.84 = 52,200.91 : x
  2. Step 2: Convert to fraction form
    209,972.46/314,959.84 = 52,200.91/x
  3. Step 3: Cross multiply
    209,972.46x = 314,959.84 × 52,200.91
  4. Step 4: Simplify right side
    209,972.46x = 16,441,189,802.50
  5. Step 5: Solve for x
    x = 16,441,189,802.50/209,972.46
  6. Step 6: Final answer
    x = 78,301.65

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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.