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Finding the Fourth Proportional to 282,973, 390,558.20 and 162,195.24

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Solution

The fourth proportional to 282,973, 390,558.20 and 162,195.24 is: 223,861.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,973 : 390,558.20 = 162,195.24 : x
  2. Step 2: Convert to fraction form
    282,973/390,558.20 = 162,195.24/x
  3. Step 3: Cross multiply
    282,973x = 390,558.20 × 162,195.24
  4. Step 4: Simplify right side
    282,973x = 63,346,680,982.97
  5. Step 5: Solve for x
    x = 63,346,680,982.97/282,973
  6. Step 6: Final answer
    x = 223,861.22

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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.