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Finding the Fourth Proportional to 142,657.40, 213,905.10 and 53,913.80

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Solution

The fourth proportional to 142,657.40, 213,905.10 and 53,913.80 is: 80,840.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,657.40 : 213,905.10 = 53,913.80 : x
  2. Step 2: Convert to fraction form
    142,657.40/213,905.10 = 53,913.80/x
  3. Step 3: Cross multiply
    142,657.40x = 213,905.10 × 53,913.80
  4. Step 4: Simplify right side
    142,657.40x = 11,532,436,780.38
  5. Step 5: Solve for x
    x = 11,532,436,780.38/142,657.40
  6. Step 6: Final answer
    x = 80,840.09

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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.