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Finding the Fourth Proportional to 228,146.65, 342,105.76 and 70,354.60

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Solution

The fourth proportional to 228,146.65, 342,105.76 and 70,354.60 is: 105,496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,146.65 : 342,105.76 = 70,354.60 : x
  2. Step 2: Convert to fraction form
    228,146.65/342,105.76 = 70,354.60/x
  3. Step 3: Cross multiply
    228,146.65x = 342,105.76 × 70,354.60
  4. Step 4: Simplify right side
    228,146.65x = 24,068,713,902.50
  5. Step 5: Solve for x
    x = 24,068,713,902.50/228,146.65
  6. Step 6: Final answer
    x = 105,496.68

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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.