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Finding the Fourth Proportional to 162,523.28, 243,815.42 and 73,783

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Solution

The fourth proportional to 162,523.28, 243,815.42 and 73,783 is: 110,688.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,523.28 : 243,815.42 = 73,783 : x
  2. Step 2: Convert to fraction form
    162,523.28/243,815.42 = 73,783/x
  3. Step 3: Cross multiply
    162,523.28x = 243,815.42 × 73,783
  4. Step 4: Simplify right side
    162,523.28x = 17,989,433,133.86
  5. Step 5: Solve for x
    x = 17,989,433,133.86/162,523.28
  6. Step 6: Final answer
    x = 110,688.35

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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.