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Finding the Fourth Proportional to 301,591.98, 451,698.76 and 143,931.16

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Solution

The fourth proportional to 301,591.98, 451,698.76 and 143,931.16 is: 215,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,591.98 : 451,698.76 = 143,931.16 : x
  2. Step 2: Convert to fraction form
    301,591.98/451,698.76 = 143,931.16/x
  3. Step 3: Cross multiply
    301,591.98x = 451,698.76 × 143,931.16
  4. Step 4: Simplify right side
    301,591.98x = 65,013,526,497.36
  5. Step 5: Solve for x
    x = 65,013,526,497.36/301,591.98
  6. Step 6: Final answer
    x = 215,567.82

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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.