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Finding the Fourth Proportional to 209,035.55, 313,506.01 and 96,654.53

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Solution

The fourth proportional to 209,035.55, 313,506.01 and 96,654.53 is: 144,959.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,035.55 : 313,506.01 = 96,654.53 : x
  2. Step 2: Convert to fraction form
    209,035.55/313,506.01 = 96,654.53/x
  3. Step 3: Cross multiply
    209,035.55x = 313,506.01 × 96,654.53
  4. Step 4: Simplify right side
    209,035.55x = 30,301,776,048.73
  5. Step 5: Solve for x
    x = 30,301,776,048.73/209,035.55
  6. Step 6: Final answer
    x = 144,959.92

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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.