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Finding the Fourth Proportional to 172,003.40, 257,786.40 and 83,065.40

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Solution

The fourth proportional to 172,003.40, 257,786.40 and 83,065.40 is: 124,492.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,003.40 : 257,786.40 = 83,065.40 : x
  2. Step 2: Convert to fraction form
    172,003.40/257,786.40 = 83,065.40/x
  3. Step 3: Cross multiply
    172,003.40x = 257,786.40 × 83,065.40
  4. Step 4: Simplify right side
    172,003.40x = 21,413,130,430.56
  5. Step 5: Solve for x
    x = 21,413,130,430.56/172,003.40
  6. Step 6: Final answer
    x = 124,492.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.