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Finding the Fourth Proportional to 301,132.30, 451,741.32 and 98,685.04

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Solution

The fourth proportional to 301,132.30, 451,741.32 and 98,685.04 is: 148,041.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,132.30 : 451,741.32 = 98,685.04 : x
  2. Step 2: Convert to fraction form
    301,132.30/451,741.32 = 98,685.04/x
  3. Step 3: Cross multiply
    301,132.30x = 451,741.32 × 98,685.04
  4. Step 4: Simplify right side
    301,132.30x = 44,580,110,233.85
  5. Step 5: Solve for x
    x = 44,580,110,233.85/301,132.30
  6. Step 6: Final answer
    x = 148,041.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.