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Finding the Fourth Proportional to 164,095.84, 226,494.39 and 106,877.74

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Solution

The fourth proportional to 164,095.84, 226,494.39 and 106,877.74 is: 147,518.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,095.84 : 226,494.39 = 106,877.74 : x
  2. Step 2: Convert to fraction form
    164,095.84/226,494.39 = 106,877.74/x
  3. Step 3: Cross multiply
    164,095.84x = 226,494.39 × 106,877.74
  4. Step 4: Simplify right side
    164,095.84x = 24,207,208,183.92
  5. Step 5: Solve for x
    x = 24,207,208,183.92/164,095.84
  6. Step 6: Final answer
    x = 147,518.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.