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Finding the Fourth Proportional to 289,875.40, 434,618.70 and 132,022.60

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Solution

The fourth proportional to 289,875.40, 434,618.70 and 132,022.60 is: 197,945.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,875.40 : 434,618.70 = 132,022.60 : x
  2. Step 2: Convert to fraction form
    289,875.40/434,618.70 = 132,022.60/x
  3. Step 3: Cross multiply
    289,875.40x = 434,618.70 × 132,022.60
  4. Step 4: Simplify right side
    289,875.40x = 57,379,490,782.62
  5. Step 5: Solve for x
    x = 57,379,490,782.62/289,875.40
  6. Step 6: Final answer
    x = 197,945.36

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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.