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Finding the Fourth Proportional to 119,052.84, 178,152.87 and 103,097.64

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Solution

The fourth proportional to 119,052.84, 178,152.87 and 103,097.64 is: 154,277.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,052.84 : 178,152.87 = 103,097.64 : x
  2. Step 2: Convert to fraction form
    119,052.84/178,152.87 = 103,097.64/x
  3. Step 3: Cross multiply
    119,052.84x = 178,152.87 × 103,097.64
  4. Step 4: Simplify right side
    119,052.84x = 18,367,140,456.23
  5. Step 5: Solve for x
    x = 18,367,140,456.23/119,052.84
  6. Step 6: Final answer
    x = 154,277.21

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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.