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Finding the Fourth Proportional to 147,649.19, 221,141.41 and 103,473.16

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Solution

The fourth proportional to 147,649.19, 221,141.41 and 103,473.16 is: 154,976.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,649.19 : 221,141.41 = 103,473.16 : x
  2. Step 2: Convert to fraction form
    147,649.19/221,141.41 = 103,473.16/x
  3. Step 3: Cross multiply
    147,649.19x = 221,141.41 × 103,473.16
  4. Step 4: Simplify right side
    147,649.19x = 22,882,200,499.56
  5. Step 5: Solve for x
    x = 22,882,200,499.56/147,649.19
  6. Step 6: Final answer
    x = 154,976.81

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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.