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Finding the Fourth Proportional to 295,266.84, 442,834.02 and 84,857.88

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Solution

The fourth proportional to 295,266.84, 442,834.02 and 84,857.88 is: 127,267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,266.84 : 442,834.02 = 84,857.88 : x
  2. Step 2: Convert to fraction form
    295,266.84/442,834.02 = 84,857.88/x
  3. Step 3: Cross multiply
    295,266.84x = 442,834.02 × 84,857.88
  4. Step 4: Simplify right side
    295,266.84x = 37,577,956,129.08
  5. Step 5: Solve for x
    x = 37,577,956,129.08/295,266.84
  6. Step 6: Final answer
    x = 127,267.78

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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.