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Finding the Fourth Proportional to 224,566.34, 309,953.64 and 148,099.23

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Solution

The fourth proportional to 224,566.34, 309,953.64 and 148,099.23 is: 204,411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,566.34 : 309,953.64 = 148,099.23 : x
  2. Step 2: Convert to fraction form
    224,566.34/309,953.64 = 148,099.23/x
  3. Step 3: Cross multiply
    224,566.34x = 309,953.64 × 148,099.23
  4. Step 4: Simplify right side
    224,566.34x = 45,903,895,419.70
  5. Step 5: Solve for x
    x = 45,903,895,419.70/224,566.34
  6. Step 6: Final answer
    x = 204,411.30

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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.