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Finding the Fourth Proportional to 74,134.64, 102,304.34 and 42,298.40

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Solution

The fourth proportional to 74,134.64, 102,304.34 and 42,298.40 is: 58,370.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,134.64 : 102,304.34 = 42,298.40 : x
  2. Step 2: Convert to fraction form
    74,134.64/102,304.34 = 42,298.40/x
  3. Step 3: Cross multiply
    74,134.64x = 102,304.34 × 42,298.40
  4. Step 4: Simplify right side
    74,134.64x = 4,327,309,895.06
  5. Step 5: Solve for x
    x = 4,327,309,895.06/74,134.64
  6. Step 6: Final answer
    x = 58,370.96

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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.