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Finding the Fourth Proportional to 151,936.16, 209,667.49 and 83,952.05

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Solution

The fourth proportional to 151,936.16, 209,667.49 and 83,952.05 is: 115,851.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,936.16 : 209,667.49 = 83,952.05 : x
  2. Step 2: Convert to fraction form
    151,936.16/209,667.49 = 83,952.05/x
  3. Step 3: Cross multiply
    151,936.16x = 209,667.49 × 83,952.05
  4. Step 4: Simplify right side
    151,936.16x = 17,602,014,345.64
  5. Step 5: Solve for x
    x = 17,602,014,345.64/151,936.16
  6. Step 6: Final answer
    x = 115,851.39

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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.