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Finding the Fourth Proportional to 227,869.76, 342,019.12 and 115,630.52

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Solution

The fourth proportional to 227,869.76, 342,019.12 and 115,630.52 is: 173,554.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,869.76 : 342,019.12 = 115,630.52 : x
  2. Step 2: Convert to fraction form
    227,869.76/342,019.12 = 115,630.52/x
  3. Step 3: Cross multiply
    227,869.76x = 342,019.12 × 115,630.52
  4. Step 4: Simplify right side
    227,869.76x = 39,547,848,695.54
  5. Step 5: Solve for x
    x = 39,547,848,695.54/227,869.76
  6. Step 6: Final answer
    x = 173,554.62

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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.