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Finding the Fourth Proportional to 144,578.67, 199,539.51 and 83,312.94

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Solution

The fourth proportional to 144,578.67, 199,539.51 and 83,312.94 is: 114,983.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,578.67 : 199,539.51 = 83,312.94 : x
  2. Step 2: Convert to fraction form
    144,578.67/199,539.51 = 83,312.94/x
  3. Step 3: Cross multiply
    144,578.67x = 199,539.51 × 83,312.94
  4. Step 4: Simplify right side
    144,578.67x = 16,624,223,224.26
  5. Step 5: Solve for x
    x = 16,624,223,224.26/144,578.67
  6. Step 6: Final answer
    x = 114,983.93

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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.