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Finding the Fourth Proportional to 209,343.96, 314,095.32 and 97,077.96

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Solution

The fourth proportional to 209,343.96, 314,095.32 and 97,077.96 is: 145,653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,343.96 : 314,095.32 = 97,077.96 : x
  2. Step 2: Convert to fraction form
    209,343.96/314,095.32 = 97,077.96/x
  3. Step 3: Cross multiply
    209,343.96x = 314,095.32 × 97,077.96
  4. Step 4: Simplify right side
    209,343.96x = 30,491,732,911.15
  5. Step 5: Solve for x
    x = 30,491,732,911.15/209,343.96
  6. Step 6: Final answer
    x = 145,653.75

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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.