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Finding the Fourth Proportional to 100,139.99, 150,214.59 and 55,733.29

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Solution

The fourth proportional to 100,139.99, 150,214.59 and 55,733.29 is: 83,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,139.99 : 150,214.59 = 55,733.29 : x
  2. Step 2: Convert to fraction form
    100,139.99/150,214.59 = 55,733.29/x
  3. Step 3: Cross multiply
    100,139.99x = 150,214.59 × 55,733.29
  4. Step 4: Simplify right side
    100,139.99x = 8,371,953,306.70
  5. Step 5: Solve for x
    x = 8,371,953,306.70/100,139.99
  6. Step 6: Final answer
    x = 83,602.50

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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.