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Finding the Fourth Proportional to 301,113.16, 451,768.46 and 123,703.72

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Solution

The fourth proportional to 301,113.16, 451,768.46 and 123,703.72 is: 185,596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,113.16 : 451,768.46 = 123,703.72 : x
  2. Step 2: Convert to fraction form
    301,113.16/451,768.46 = 123,703.72/x
  3. Step 3: Cross multiply
    301,113.16x = 451,768.46 × 123,703.72
  4. Step 4: Simplify right side
    301,113.16x = 55,885,439,080.67
  5. Step 5: Solve for x
    x = 55,885,439,080.67/301,113.16
  6. Step 6: Final answer
    x = 185,596.14

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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.