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Finding the Fourth Proportional to 228,409.94, 342,684.99 and 102,156.39

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Solution

The fourth proportional to 228,409.94, 342,684.99 and 102,156.39 is: 153,265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,409.94 : 342,684.99 = 102,156.39 : x
  2. Step 2: Convert to fraction form
    228,409.94/342,684.99 = 102,156.39/x
  3. Step 3: Cross multiply
    228,409.94x = 342,684.99 × 102,156.39
  4. Step 4: Simplify right side
    228,409.94x = 35,007,461,485.59
  5. Step 5: Solve for x
    x = 35,007,461,485.59/228,409.94
  6. Step 6: Final answer
    x = 153,265.93

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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.