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Finding the Fourth Proportional to 147,372.51, 203,363.13 and 83,698

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Solution

The fourth proportional to 147,372.51, 203,363.13 and 83,698 is: 115,497.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,372.51 : 203,363.13 = 83,698 : x
  2. Step 2: Convert to fraction form
    147,372.51/203,363.13 = 83,698/x
  3. Step 3: Cross multiply
    147,372.51x = 203,363.13 × 83,698
  4. Step 4: Simplify right side
    147,372.51x = 17,021,087,254.74
  5. Step 5: Solve for x
    x = 17,021,087,254.74/147,372.51
  6. Step 6: Final answer
    x = 115,497.03

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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.