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Finding the Fourth Proportional to 119,088.84, 164,308.92 and 76,671.92

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Solution

The fourth proportional to 119,088.84, 164,308.92 and 76,671.92 is: 105,785.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,088.84 : 164,308.92 = 76,671.92 : x
  2. Step 2: Convert to fraction form
    119,088.84/164,308.92 = 76,671.92/x
  3. Step 3: Cross multiply
    119,088.84x = 164,308.92 × 76,671.92
  4. Step 4: Simplify right side
    119,088.84x = 12,597,880,369.53
  5. Step 5: Solve for x
    x = 12,597,880,369.53/119,088.84
  6. Step 6: Final answer
    x = 105,785.57

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Why These Related Problems?

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