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Finding the Fourth Proportional to 162,343.02, 224,096 and 145,317.22

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Solution

The fourth proportional to 162,343.02, 224,096 and 145,317.22 is: 200,593.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,343.02 : 224,096 = 145,317.22 : x
  2. Step 2: Convert to fraction form
    162,343.02/224,096 = 145,317.22/x
  3. Step 3: Cross multiply
    162,343.02x = 224,096 × 145,317.22
  4. Step 4: Simplify right side
    162,343.02x = 32,565,007,733.12
  5. Step 5: Solve for x
    x = 32,565,007,733.12/162,343.02
  6. Step 6: Final answer
    x = 200,593.83

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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.