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Finding the Fourth Proportional to 101,908.82, 151,830.14 and 96,889.80

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Solution

The fourth proportional to 101,908.82, 151,830.14 and 96,889.80 is: 144,352.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,908.82 : 151,830.14 = 96,889.80 : x
  2. Step 2: Convert to fraction form
    101,908.82/151,830.14 = 96,889.80/x
  3. Step 3: Cross multiply
    101,908.82x = 151,830.14 × 96,889.80
  4. Step 4: Simplify right side
    101,908.82x = 14,710,791,898.57
  5. Step 5: Solve for x
    x = 14,710,791,898.57/101,908.82
  6. Step 6: Final answer
    x = 144,352.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.