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Finding the Fourth Proportional to 83,777.39, 115,730.46 and 76,210.37

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Solution

The fourth proportional to 83,777.39, 115,730.46 and 76,210.37 is: 105,277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,777.39 : 115,730.46 = 76,210.37 : x
  2. Step 2: Convert to fraction form
    83,777.39/115,730.46 = 76,210.37/x
  3. Step 3: Cross multiply
    83,777.39x = 115,730.46 × 76,210.37
  4. Step 4: Simplify right side
    83,777.39x = 8,819,860,598.22
  5. Step 5: Solve for x
    x = 8,819,860,598.22/83,777.39
  6. Step 6: Final answer
    x = 105,277.34

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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.