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Finding the Fourth Proportional to 202,037.92, 278,812.64 and 117,204.32

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Solution

The fourth proportional to 202,037.92, 278,812.64 and 117,204.32 is: 161,742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,037.92 : 278,812.64 = 117,204.32 : x
  2. Step 2: Convert to fraction form
    202,037.92/278,812.64 = 117,204.32/x
  3. Step 3: Cross multiply
    202,037.92x = 278,812.64 × 117,204.32
  4. Step 4: Simplify right side
    202,037.92x = 32,678,045,878.60
  5. Step 5: Solve for x
    x = 32,678,045,878.60/202,037.92
  6. Step 6: Final answer
    x = 161,742.14

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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.