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Finding the Fourth Proportional to 114,402.74, 171,605.12 and 46,971.86

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Solution

The fourth proportional to 114,402.74, 171,605.12 and 46,971.86 is: 70,458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,402.74 : 171,605.12 = 46,971.86 : x
  2. Step 2: Convert to fraction form
    114,402.74/171,605.12 = 46,971.86/x
  3. Step 3: Cross multiply
    114,402.74x = 171,605.12 × 46,971.86
  4. Step 4: Simplify right side
    114,402.74x = 8,060,611,789.35
  5. Step 5: Solve for x
    x = 8,060,611,789.35/114,402.74
  6. Step 6: Final answer
    x = 70,458.21

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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.