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Finding the Fourth Proportional to 116,806.66, 175,065.44 and 83,018.84

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Solution

The fourth proportional to 116,806.66, 175,065.44 and 83,018.84 is: 124,425.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,806.66 : 175,065.44 = 83,018.84 : x
  2. Step 2: Convert to fraction form
    116,806.66/175,065.44 = 83,018.84/x
  3. Step 3: Cross multiply
    116,806.66x = 175,065.44 × 83,018.84
  4. Step 4: Simplify right side
    116,806.66x = 14,533,730,398.10
  5. Step 5: Solve for x
    x = 14,533,730,398.10/116,806.66
  6. Step 6: Final answer
    x = 124,425.53

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Why These Related Problems?

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