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Finding the Fourth Proportional to 123,466.16, 170,411.25 and 69,782.31

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Solution

The fourth proportional to 123,466.16, 170,411.25 and 69,782.31 is: 96,315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,466.16 : 170,411.25 = 69,782.31 : x
  2. Step 2: Convert to fraction form
    123,466.16/170,411.25 = 69,782.31/x
  3. Step 3: Cross multiply
    123,466.16x = 170,411.25 × 69,782.31
  4. Step 4: Simplify right side
    123,466.16x = 11,891,690,674.99
  5. Step 5: Solve for x
    x = 11,891,690,674.99/123,466.16
  6. Step 6: Final answer
    x = 96,315.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.