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Finding the Fourth Proportional to 289,973.25, 400,162.26 and 160,931.19

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Solution

The fourth proportional to 289,973.25, 400,162.26 and 160,931.19 is: 222,084.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,973.25 : 400,162.26 = 160,931.19 : x
  2. Step 2: Convert to fraction form
    289,973.25/400,162.26 = 160,931.19/x
  3. Step 3: Cross multiply
    289,973.25x = 400,162.26 × 160,931.19
  4. Step 4: Simplify right side
    289,973.25x = 64,398,588,694.89
  5. Step 5: Solve for x
    x = 64,398,588,694.89/289,973.25
  6. Step 6: Final answer
    x = 222,084.58

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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.