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Finding the Fourth Proportional to 102,838.16, 154,081.20 and 56,123.84

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Solution

The fourth proportional to 102,838.16, 154,081.20 and 56,123.84 is: 84,089.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,838.16 : 154,081.20 = 56,123.84 : x
  2. Step 2: Convert to fraction form
    102,838.16/154,081.20 = 56,123.84/x
  3. Step 3: Cross multiply
    102,838.16x = 154,081.20 × 56,123.84
  4. Step 4: Simplify right side
    102,838.16x = 8,647,628,615.81
  5. Step 5: Solve for x
    x = 8,647,628,615.81/102,838.16
  6. Step 6: Final answer
    x = 84,089.69

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