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Finding the Fourth Proportional to 183,463.76, 275,221.14 and 65,106.95

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Solution

The fourth proportional to 183,463.76, 275,221.14 and 65,106.95 is: 97,669.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,463.76 : 275,221.14 = 65,106.95 : x
  2. Step 2: Convert to fraction form
    183,463.76/275,221.14 = 65,106.95/x
  3. Step 3: Cross multiply
    183,463.76x = 275,221.14 × 65,106.95
  4. Step 4: Simplify right side
    183,463.76x = 17,918,809,000.92
  5. Step 5: Solve for x
    x = 17,918,809,000.92/183,463.76
  6. Step 6: Final answer
    x = 97,669.47

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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.