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Finding the Fourth Proportional to 228,496.55, 342,814.88 and 102,243.06

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Solution

The fourth proportional to 228,496.55, 342,814.88 and 102,243.06 is: 153,395.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,496.55 : 342,814.88 = 102,243.06 : x
  2. Step 2: Convert to fraction form
    228,496.55/342,814.88 = 102,243.06/x
  3. Step 3: Cross multiply
    228,496.55x = 342,814.88 × 102,243.06
  4. Step 4: Simplify right side
    228,496.55x = 35,050,442,600.34
  5. Step 5: Solve for x
    x = 35,050,442,600.34/228,496.55
  6. Step 6: Final answer
    x = 153,395.94

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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.