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Finding the Fourth Proportional to 162,384, 243,606.72 and 74,832

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Solution

The fourth proportional to 162,384, 243,606.72 and 74,832 is: 112,262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,384 : 243,606.72 = 74,832 : x
  2. Step 2: Convert to fraction form
    162,384/243,606.72 = 74,832/x
  3. Step 3: Cross multiply
    162,384x = 243,606.72 × 74,832
  4. Step 4: Simplify right side
    162,384x = 18,229,578,071.04
  5. Step 5: Solve for x
    x = 18,229,578,071.04/162,384
  6. Step 6: Final answer
    x = 112,262.16

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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.