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Finding the Fourth Proportional to 208,434.60, 312,651.90 and 97,842.60

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Solution

The fourth proportional to 208,434.60, 312,651.90 and 97,842.60 is: 146,763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,434.60 : 312,651.90 = 97,842.60 : x
  2. Step 2: Convert to fraction form
    208,434.60/312,651.90 = 97,842.60/x
  3. Step 3: Cross multiply
    208,434.60x = 312,651.90 × 97,842.60
  4. Step 4: Simplify right side
    208,434.60x = 30,590,674,790.94
  5. Step 5: Solve for x
    x = 30,590,674,790.94/208,434.60
  6. Step 6: Final answer
    x = 146,763.90

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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.