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Finding the Fourth Proportional to 183,981.42, 276,079.21 and 77,357.66

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Solution

The fourth proportional to 183,981.42, 276,079.21 and 77,357.66 is: 116,081.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,981.42 : 276,079.21 = 77,357.66 : x
  2. Step 2: Convert to fraction form
    183,981.42/276,079.21 = 77,357.66/x
  3. Step 3: Cross multiply
    183,981.42x = 276,079.21 × 77,357.66
  4. Step 4: Simplify right side
    183,981.42x = 21,356,840,086.46
  5. Step 5: Solve for x
    x = 21,356,840,086.46/183,981.42
  6. Step 6: Final answer
    x = 116,081.50

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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.