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Finding the Fourth Proportional to 215,225.40, 322,838.10 and 177,171.60

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Solution

The fourth proportional to 215,225.40, 322,838.10 and 177,171.60 is: 265,757.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,225.40 : 322,838.10 = 177,171.60 : x
  2. Step 2: Convert to fraction form
    215,225.40/322,838.10 = 177,171.60/x
  3. Step 3: Cross multiply
    215,225.40x = 322,838.10 × 177,171.60
  4. Step 4: Simplify right side
    215,225.40x = 57,197,742,717.96
  5. Step 5: Solve for x
    x = 57,197,742,717.96/215,225.40
  6. Step 6: Final answer
    x = 265,757.40

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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.