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Finding the Fourth Proportional to 152,121.98, 228,213.40 and 46,937

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Solution

The fourth proportional to 152,121.98, 228,213.40 and 46,937 is: 70,414.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,121.98 : 228,213.40 = 46,937 : x
  2. Step 2: Convert to fraction form
    152,121.98/228,213.40 = 46,937/x
  3. Step 3: Cross multiply
    152,121.98x = 228,213.40 × 46,937
  4. Step 4: Simplify right side
    152,121.98x = 10,711,652,355.80
  5. Step 5: Solve for x
    x = 10,711,652,355.80/152,121.98
  6. Step 6: Final answer
    x = 70,414.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.