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Finding the Fourth Proportional to 228,102.72, 342,132.09 and 70,288.80

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Solution

The fourth proportional to 228,102.72, 342,132.09 and 70,288.80 is: 105,426.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,102.72 : 342,132.09 = 70,288.80 : x
  2. Step 2: Convert to fraction form
    228,102.72/342,132.09 = 70,288.80/x
  3. Step 3: Cross multiply
    228,102.72x = 342,132.09 × 70,288.80
  4. Step 4: Simplify right side
    228,102.72x = 24,048,054,047.59
  5. Step 5: Solve for x
    x = 24,048,054,047.59/228,102.72
  6. Step 6: Final answer
    x = 105,426.42

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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.