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Finding the Fourth Proportional to 137,282.60, 205,826.70 and 53,010.20

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Solution

The fourth proportional to 137,282.60, 205,826.70 and 53,010.20 is: 79,477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,282.60 : 205,826.70 = 53,010.20 : x
  2. Step 2: Convert to fraction form
    137,282.60/205,826.70 = 53,010.20/x
  3. Step 3: Cross multiply
    137,282.60x = 205,826.70 × 53,010.20
  4. Step 4: Simplify right side
    137,282.60x = 10,910,914,532.34
  5. Step 5: Solve for x
    x = 10,910,914,532.34/137,282.60
  6. Step 6: Final answer
    x = 79,477.77

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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.