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Finding the Fourth Proportional to 289,407.09, 434,258.67 and 137,775.50

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Solution

The fourth proportional to 289,407.09, 434,258.67 and 137,775.50 is: 206,733.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,407.09 : 434,258.67 = 137,775.50 : x
  2. Step 2: Convert to fraction form
    289,407.09/434,258.67 = 137,775.50/x
  3. Step 3: Cross multiply
    289,407.09x = 434,258.67 × 137,775.50
  4. Step 4: Simplify right side
    289,407.09x = 59,830,203,217.29
  5. Step 5: Solve for x
    x = 59,830,203,217.29/289,407.09
  6. Step 6: Final answer
    x = 206,733.72

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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.