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Finding the Fourth Proportional to 205,329.40, 307,763.70 and 116,625.40

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Solution

The fourth proportional to 205,329.40, 307,763.70 and 116,625.40 is: 174,807.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,329.40 : 307,763.70 = 116,625.40 : x
  2. Step 2: Convert to fraction form
    205,329.40/307,763.70 = 116,625.40/x
  3. Step 3: Cross multiply
    205,329.40x = 307,763.70 × 116,625.40
  4. Step 4: Simplify right side
    205,329.40x = 35,893,064,617.98
  5. Step 5: Solve for x
    x = 35,893,064,617.98/205,329.40
  6. Step 6: Final answer
    x = 174,807.23

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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.