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Finding the Fourth Proportional to 119,294.10, 178,940.70 and 30,547.49

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Solution

The fourth proportional to 119,294.10, 178,940.70 and 30,547.49 is: 45,821.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,294.10 : 178,940.70 = 30,547.49 : x
  2. Step 2: Convert to fraction form
    119,294.10/178,940.70 = 30,547.49/x
  3. Step 3: Cross multiply
    119,294.10x = 178,940.70 × 30,547.49
  4. Step 4: Simplify right side
    119,294.10x = 5,466,188,349.14
  5. Step 5: Solve for x
    x = 5,466,188,349.14/119,294.10
  6. Step 6: Final answer
    x = 45,821.11

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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.