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Finding the Fourth Proportional to 232,893.60, 349,414.26 and 83,130.60

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Solution

The fourth proportional to 232,893.60, 349,414.26 and 83,130.60 is: 124,722.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,893.60 : 349,414.26 = 83,130.60 : x
  2. Step 2: Convert to fraction form
    232,893.60/349,414.26 = 83,130.60/x
  3. Step 3: Cross multiply
    232,893.60x = 349,414.26 × 83,130.60
  4. Step 4: Simplify right side
    232,893.60x = 29,047,017,082.36
  5. Step 5: Solve for x
    x = 29,047,017,082.36/232,893.60
  6. Step 6: Final answer
    x = 124,722.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.