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Finding the Fourth Proportional to 288,812.14, 433,431.06 and 137,009.69

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Solution

The fourth proportional to 288,812.14, 433,431.06 and 137,009.69 is: 205,615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,812.14 : 433,431.06 = 137,009.69 : x
  2. Step 2: Convert to fraction form
    288,812.14/433,431.06 = 137,009.69/x
  3. Step 3: Cross multiply
    288,812.14x = 433,431.06 × 137,009.69
  4. Step 4: Simplify right side
    288,812.14x = 59,384,255,166.97
  5. Step 5: Solve for x
    x = 59,384,255,166.97/288,812.14
  6. Step 6: Final answer
    x = 205,615.51

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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.