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Finding the Fourth Proportional to 100,949.60, 151,424.40 and 96,356.90

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Solution

The fourth proportional to 100,949.60, 151,424.40 and 96,356.90 is: 144,535.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,949.60 : 151,424.40 = 96,356.90 : x
  2. Step 2: Convert to fraction form
    100,949.60/151,424.40 = 96,356.90/x
  3. Step 3: Cross multiply
    100,949.60x = 151,424.40 × 96,356.90
  4. Step 4: Simplify right side
    100,949.60x = 14,590,785,768.36
  5. Step 5: Solve for x
    x = 14,590,785,768.36/100,949.60
  6. Step 6: Final answer
    x = 144,535.35

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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.