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Finding the Fourth Proportional to 104,948.47, 144,827.22 and 57,202.21

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Solution

The fourth proportional to 104,948.47, 144,827.22 and 57,202.21 is: 78,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,948.47 : 144,827.22 = 57,202.21 : x
  2. Step 2: Convert to fraction form
    104,948.47/144,827.22 = 57,202.21/x
  3. Step 3: Cross multiply
    104,948.47x = 144,827.22 × 57,202.21
  4. Step 4: Simplify right side
    104,948.47x = 8,284,437,052.16
  5. Step 5: Solve for x
    x = 8,284,437,052.16/104,948.47
  6. Step 6: Final answer
    x = 78,938.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.