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Finding the Fourth Proportional to 289,116.72, 399,011.40 and 161,823.60

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Solution

The fourth proportional to 289,116.72, 399,011.40 and 161,823.60 is: 223,333.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,116.72 : 399,011.40 = 161,823.60 : x
  2. Step 2: Convert to fraction form
    289,116.72/399,011.40 = 161,823.60/x
  3. Step 3: Cross multiply
    289,116.72x = 399,011.40 × 161,823.60
  4. Step 4: Simplify right side
    289,116.72x = 64,569,461,189.04
  5. Step 5: Solve for x
    x = 64,569,461,189.04/289,116.72
  6. Step 6: Final answer
    x = 223,333.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.