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Finding the Fourth Proportional to 122,111.20, 183,166.80 and 77,933.80

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Solution

The fourth proportional to 122,111.20, 183,166.80 and 77,933.80 is: 116,900.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,111.20 : 183,166.80 = 77,933.80 : x
  2. Step 2: Convert to fraction form
    122,111.20/183,166.80 = 77,933.80/x
  3. Step 3: Cross multiply
    122,111.20x = 183,166.80 × 77,933.80
  4. Step 4: Simplify right side
    122,111.20x = 14,274,884,757.84
  5. Step 5: Solve for x
    x = 14,274,884,757.84/122,111.20
  6. Step 6: Final answer
    x = 116,900.70

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1.5x scale

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.