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Finding the Fourth Proportional to 266,382.84, 399,325.14 and 97,857.92

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Solution

The fourth proportional to 266,382.84, 399,325.14 and 97,857.92 is: 146,695.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,382.84 : 399,325.14 = 97,857.92 : x
  2. Step 2: Convert to fraction form
    266,382.84/399,325.14 = 97,857.92/x
  3. Step 3: Cross multiply
    266,382.84x = 399,325.14 × 97,857.92
  4. Step 4: Simplify right side
    266,382.84x = 39,077,127,604.11
  5. Step 5: Solve for x
    x = 39,077,127,604.11/266,382.84
  6. Step 6: Final answer
    x = 146,695.36

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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.