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Finding the Fourth Proportional to 208,055.80, 312,191.70 and 97,247.80

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Solution

The fourth proportional to 208,055.80, 312,191.70 and 97,247.80 is: 145,922.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,055.80 : 312,191.70 = 97,247.80 : x
  2. Step 2: Convert to fraction form
    208,055.80/312,191.70 = 97,247.80/x
  3. Step 3: Cross multiply
    208,055.80x = 312,191.70 × 97,247.80
  4. Step 4: Simplify right side
    208,055.80x = 30,359,956,003.26
  5. Step 5: Solve for x
    x = 30,359,956,003.26/208,055.80
  6. Step 6: Final answer
    x = 145,922.18

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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.