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Finding the Fourth Proportional to 151,953.49, 209,690.17 and 83,969.06

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Solution

The fourth proportional to 151,953.49, 209,690.17 and 83,969.06 is: 115,874.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,953.49 : 209,690.17 = 83,969.06 : x
  2. Step 2: Convert to fraction form
    151,953.49/209,690.17 = 83,969.06/x
  3. Step 3: Cross multiply
    151,953.49x = 209,690.17 × 83,969.06
  4. Step 4: Simplify right side
    151,953.49x = 17,607,485,207.77
  5. Step 5: Solve for x
    x = 17,607,485,207.77/151,953.49
  6. Step 6: Final answer
    x = 115,874.18

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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.