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Finding the Fourth Proportional to 232,193.60, 348,290.40 and 107,777.60

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Solution

The fourth proportional to 232,193.60, 348,290.40 and 107,777.60 is: 161,666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,193.60 : 348,290.40 = 107,777.60 : x
  2. Step 2: Convert to fraction form
    232,193.60/348,290.40 = 107,777.60/x
  3. Step 3: Cross multiply
    232,193.60x = 348,290.40 × 107,777.60
  4. Step 4: Simplify right side
    232,193.60x = 37,537,903,415.04
  5. Step 5: Solve for x
    x = 37,537,903,415.04/232,193.60
  6. Step 6: Final answer
    x = 161,666.40

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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.