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Finding the Fourth Proportional to 280,176.96, 386,768.32 and 167,039.04

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Solution

The fourth proportional to 280,176.96, 386,768.32 and 167,039.04 is: 230,587.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,176.96 : 386,768.32 = 167,039.04 : x
  2. Step 2: Convert to fraction form
    280,176.96/386,768.32 = 167,039.04/x
  3. Step 3: Cross multiply
    280,176.96x = 386,768.32 × 167,039.04
  4. Step 4: Simplify right side
    280,176.96x = 64,605,408,875.21
  5. Step 5: Solve for x
    x = 64,605,408,875.21/280,176.96
  6. Step 6: Final answer
    x = 230,587.87

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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.