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Finding the Fourth Proportional to 114,866.54, 172,299.85 and 47,397.59

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Solution

The fourth proportional to 114,866.54, 172,299.85 and 47,397.59 is: 71,096.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,866.54 : 172,299.85 = 47,397.59 : x
  2. Step 2: Convert to fraction form
    114,866.54/172,299.85 = 47,397.59/x
  3. Step 3: Cross multiply
    114,866.54x = 172,299.85 × 47,397.59
  4. Step 4: Simplify right side
    114,866.54x = 8,166,597,931.39
  5. Step 5: Solve for x
    x = 8,166,597,931.39/114,866.54
  6. Step 6: Final answer
    x = 71,096.40

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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.