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Finding the Fourth Proportional to 105,294.98, 145,306.84 and 57,548.68

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Solution

The fourth proportional to 105,294.98, 145,306.84 and 57,548.68 is: 79,417.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,294.98 : 145,306.84 = 57,548.68 : x
  2. Step 2: Convert to fraction form
    105,294.98/145,306.84 = 57,548.68/x
  3. Step 3: Cross multiply
    105,294.98x = 145,306.84 × 57,548.68
  4. Step 4: Simplify right side
    105,294.98x = 8,362,216,836.97
  5. Step 5: Solve for x
    x = 8,362,216,836.97/105,294.98
  6. Step 6: Final answer
    x = 79,417.05

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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.