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Finding the Fourth Proportional to 280,464.93, 420,881.67 and 102,973.68

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Solution

The fourth proportional to 280,464.93, 420,881.67 and 102,973.68 is: 154,528.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,464.93 : 420,881.67 = 102,973.68 : x
  2. Step 2: Convert to fraction form
    280,464.93/420,881.67 = 102,973.68/x
  3. Step 3: Cross multiply
    280,464.93x = 420,881.67 × 102,973.68
  4. Step 4: Simplify right side
    280,464.93x = 43,339,734,404.45
  5. Step 5: Solve for x
    x = 43,339,734,404.45/280,464.93
  6. Step 6: Final answer
    x = 154,528.18

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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.