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Finding the Fourth Proportional to 282,899.82, 424,338.84 and 95,911.32

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Solution

The fourth proportional to 282,899.82, 424,338.84 and 95,911.32 is: 143,863.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,899.82 : 424,338.84 = 95,911.32 : x
  2. Step 2: Convert to fraction form
    282,899.82/424,338.84 = 95,911.32/x
  3. Step 3: Cross multiply
    282,899.82x = 424,338.84 × 95,911.32
  4. Step 4: Simplify right side
    282,899.82x = 40,698,898,271.67
  5. Step 5: Solve for x
    x = 40,698,898,271.67/282,899.82
  6. Step 6: Final answer
    x = 143,863.29

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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.