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Finding the Fourth Proportional to 105,402.39, 145,453.08 and 57,654.10

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Solution

The fourth proportional to 105,402.39, 145,453.08 and 57,654.10 is: 79,561.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,402.39 : 145,453.08 = 57,654.10 : x
  2. Step 2: Convert to fraction form
    105,402.39/145,453.08 = 57,654.10/x
  3. Step 3: Cross multiply
    105,402.39x = 145,453.08 × 57,654.10
  4. Step 4: Simplify right side
    105,402.39x = 8,385,966,419.63
  5. Step 5: Solve for x
    x = 8,385,966,419.63/105,402.39
  6. Step 6: Final answer
    x = 79,561.44

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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.