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Finding the Fourth Proportional to 152,893.00, 210,991.51 and 83,983.82

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Solution

The fourth proportional to 152,893.00, 210,991.51 and 83,983.82 is: 115,897.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,893.00 : 210,991.51 = 83,983.82 : x
  2. Step 2: Convert to fraction form
    152,893.00/210,991.51 = 83,983.82/x
  3. Step 3: Cross multiply
    152,893.00x = 210,991.51 × 83,983.82
  4. Step 4: Simplify right side
    152,893.00x = 17,719,872,047.39
  5. Step 5: Solve for x
    x = 17,719,872,047.39/152,893.00
  6. Step 6: Final answer
    x = 115,897.21

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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.