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Finding the Fourth Proportional to 228,496.17, 342,814.32 and 102,242.70

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Solution

The fourth proportional to 228,496.17, 342,814.32 and 102,242.70 is: 153,395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,496.17 : 342,814.32 = 102,242.70 : x
  2. Step 2: Convert to fraction form
    228,496.17/342,814.32 = 102,242.70/x
  3. Step 3: Cross multiply
    228,496.17x = 342,814.32 × 102,242.70
  4. Step 4: Simplify right side
    228,496.17x = 35,050,261,675.46
  5. Step 5: Solve for x
    x = 35,050,261,675.46/228,496.17
  6. Step 6: Final answer
    x = 153,395.40

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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.