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Finding the Fourth Proportional to 114,265, 171,397.50 and 48,601

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Solution

The fourth proportional to 114,265, 171,397.50 and 48,601 is: 72,901.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,265 : 171,397.50 = 48,601 : x
  2. Step 2: Convert to fraction form
    114,265/171,397.50 = 48,601/x
  3. Step 3: Cross multiply
    114,265x = 171,397.50 × 48,601
  4. Step 4: Simplify right side
    114,265x = 8,330,089,897.50
  5. Step 5: Solve for x
    x = 8,330,089,897.50/114,265
  6. Step 6: Final answer
    x = 72,901.50

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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.