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Finding the Fourth Proportional to 119,053.84, 178,154.37 and 103,098.64

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Solution

The fourth proportional to 119,053.84, 178,154.37 and 103,098.64 is: 154,278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,053.84 : 178,154.37 = 103,098.64 : x
  2. Step 2: Convert to fraction form
    119,053.84/178,154.37 = 103,098.64/x
  3. Step 3: Cross multiply
    119,053.84x = 178,154.37 × 103,098.64
  4. Step 4: Simplify right side
    119,053.84x = 18,367,473,257.06
  5. Step 5: Solve for x
    x = 18,367,473,257.06/119,053.84
  6. Step 6: Final answer
    x = 154,278.71

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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.